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5153399440 = 245737924281
BaseRepresentation
bin1001100110010101…
…01010001010010000
3111022011000211000221
410303022222022100
541023232240230
62211211122424
7241464113110
oct46312521220
914264024027
105153399440
112204a61302
12bb9a43414
1364187aba7
1436c5d3040
1520265827a
hex1332aa290

5153399440 has 80 divisors (see below), whose sum is σ = 13730014080. Its totient is φ = 1762145280.

The previous prime is 5153399401. The next prime is 5153399443. The reversal of 5153399440 is 449933515.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5153399443) 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, 200100 + ... + 224380.

It is an arithmetic number, because the mean of its divisors is an integer number (171625176).

Almost surely, 25153399440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5153399440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865007040).

5153399440 is an abundant number, since it is smaller than the sum of its proper divisors (8576614640).

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

5153399440 is a wasteful number, since it uses less digits than its factorization.

5153399440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24680 (or 24674 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 43.

The square root of 5153399440 is about 71787.1815855728. The cubic root of 5153399440 is about 1727.2873879927.

The spelling of 5153399440 in words is "five billion, one hundred fifty-three million, three hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 379 560 758 1516 1895 2653 3032 3790 5306 6064 7580 10612 13265 15160 21224 24281 26530 30320 42448 48562 53060 97124 106120 121405 169967 194248 212240 242810 339934 388496 485620 679868 849835 971240 1359736 1699670 1942480 2719472 3399340 6798680 9202499 13597360 18404998 36809996 46012495 64417493 73619992 92024990 128834986 147239984 184049980 257669972 322087465 368099960 515339944 644174930 736199920 1030679888 1288349860 2576699720 5153399440