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521373136 = 241729157421
BaseRepresentation
bin11111000100111…
…000010111010000
31100100001111111011
4133010320113100
52031432420021
6123422500304
715630412204
oct3704702720
91310044434
10521373136
11248335399
12126734694
138402951b
144d35ab04
1530b8ade1
hex1f1385d0

521373136 has 80 divisors (see below), whose sum is σ = 1116156240. Its totient is φ = 234823680.

The previous prime is 521373109. The next prime is 521373169. The reversal of 521373136 is 631373125.

It can be written as a sum of positive squares in 8 ways, for example, as 47004736 + 474368400 = 6856^2 + 21780^2 .

It is a junction number, because it is equal to n+sod(n) for n = 521373098 and 521373107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1238206 + ... + 1238626.

It is an arithmetic number, because the mean of its divisors is an integer number (13951953).

Almost surely, 2521373136 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 521373136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558078120).

521373136 is an abundant number, since it is smaller than the sum of its proper divisors (594783104).

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

521373136 is a wasteful number, since it uses less digits than its factorization.

521373136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its digits is 11340, while the sum is 31.

The square root of 521373136 is about 22833.5966505498. The cubic root of 521373136 is about 804.8523505293.

The spelling of 521373136 in words is "five hundred twenty-one million, three hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 157 232 272 314 421 464 493 628 842 986 1256 1684 1972 2512 2669 3368 3944 4553 5338 6736 7157 7888 9106 10676 12209 14314 18212 21352 24418 28628 36424 42704 48836 57256 66097 72848 77401 97672 114512 132194 154802 195344 207553 264388 309604 415106 528776 619208 830212 1057552 1123649 1238416 1660424 1916813 2247298 3320848 3833626 4494596 7667252 8989192 15334504 17978384 30669008 32585821 65171642 130343284 260686568 521373136