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4053354240 = 28351381197
BaseRepresentation
bin1111000110011001…
…0100011100000000
3101110111002201201010
43301212110130000
531300124313430
61510113240520
7202305641205
oct36146243400
911414081633
104053354240
1117a0016041
12951563140
134c79b2780
142a6481cac
1518acb3cb0
hexf1994700

4053354240 has 144 divisors (see below), whose sum is σ = 13941371808. Its totient is φ = 997736448.

The previous prime is 4053354211. The next prime is 4053354241. The reversal of 4053354240 is 424533504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4053354198 and 4053354207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053354241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9322 + ... + 90518.

It is an arithmetic number, because the mean of its divisors is an integer number (96815082).

Almost surely, 24053354240 is an apocalyptic number.

4053354240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4053354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970685904).

4053354240 is an abundant number, since it is smaller than the sum of its proper divisors (9888017568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4053354240 is a wasteful number, since it uses less digits than its factorization.

4053354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81234 (or 81220 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 4053354240 is about 63665.9582508580. The cubic root of 4053354240 is about 1594.4277831946.

Adding to 4053354240 its reverse (424533504), we get a palindrome (4477887744).

The spelling of 4053354240 in words is "four billion, fifty-three million, three hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 49920 81197 162394 243591 324788 405985 487182 649576 811970 974364 1055561 1217955 1299152 1623940 1948728 2111122 2435910 2598304 3166683 3247880 3897456 4222244 4871820 5196608 5277805 6333366 6495760 7794912 8444488 9743640 10393216 10555610 12666732 12991520 15589824 15833415 16888976 19487280 20786432 21111220 25333464 25983040 31179648 31666830 33777952 38974560 42222440 50666928 51966080 62359296 63333660 67555904 77949120 84444880 101333856 103932160 126667320 135111808 155898240 168889760 202667712 253334640 270223616 311796480 337779520 405335424 506669280 675559040 810670848 1013338560 1351118080 2026677120 4053354240