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1838905040 = 24577344983
BaseRepresentation
bin110110110011011…
…0111011011010000
311202011020001111002
41231212313123100
512231224430130
6502250041132
763366302120
oct15546673320
94664201432
101838905040
11864017635
12433a191a8
13233c923bb
14136322c80
15ab690b45
hex6d9b76d0

1838905040 has 80 divisors (see below), whose sum is σ = 4953278208. Its totient is φ = 621831168.

The previous prime is 1838905021. The next prime is 1838905043. The reversal of 1838905040 is 405098381.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×18389050402 = 6763143492274803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1838904985 and 1838905003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838905043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18389 + ... + 63371.

Almost surely, 21838905040 is an apocalyptic number.

1838905040 is a gapful number since it is divisible by the number (10) 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 1838905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476639104).

1838905040 is an abundant number, since it is smaller than the sum of its proper divisors (3114373168).

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

1838905040 is a wasteful number, since it uses less digits than its factorization.

1838905040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45076 (or 45070 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 1838905040 is about 42882.4560863764. The cubic root of 1838905040 is about 1225.1420165769.

The spelling of 1838905040 in words is "one billion, eight hundred thirty-eight million, nine hundred five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 280 292 365 511 560 584 730 1022 1168 1460 2044 2555 2920 4088 5110 5840 8176 10220 20440 40880 44983 89966 179932 224915 314881 359864 449830 629762 719728 899660 1259524 1574405 1799320 2519048 3148810 3283759 3598640 5038096 6297620 6567518 12595240 13135036 16418795 22986313 25190480 26270072 32837590 45972626 52540144 65675180 91945252 114931565 131350360 183890504 229863130 262700720 367781008 459726260 919452520 1838905040