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521295372 = 2233136
BaseRepresentation
bin11111000100100…
…101011000001100
31100022220112211000
4133010211120030
52031422422442
6123421100300
715626636403
oct3704453014
91308815730
10521295372
11248291a24
121266b7690
1384000000
144d33a63a
1530b72d4c
hex1f12560c

521295372 has 84 divisors (see below), whose sum is σ = 1464132040. Its totient is φ = 160398576.

The previous prime is 521295347. The next prime is 521295403. The reversal of 521295372 is 273592125.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (37800) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 13.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 40099638 + ... + 40099650.

Almost surely, 2521295372 is an apocalyptic number.

521295372 is a gapful number since it is divisible by the number (52) 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 521295372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732066020).

521295372 is an abundant number, since it is smaller than the sum of its proper divisors (942836668).

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

521295372 is an frugal number, since it uses more digits than its factorization.

521295372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 18 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 521295372 is about 22831.8937453729. The cubic root of 521295372 is about 804.8123333479.

The spelling of 521295372 in words is "five hundred twenty-one million, two hundred ninety-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 2197 3042 4394 4563 6084 6591 8788 9126 13182 18252 19773 26364 28561 39546 57122 59319 79092 85683 114244 118638 171366 237276 257049 342732 371293 514098 742586 771147 1028196 1113879 1485172 1542294 2227758 3084588 3341637 4455516 4826809 6683274 9653618 10024911 13366548 14480427 19307236 20049822 28960854 40099644 43441281 57921708 86882562 130323843 173765124 260647686 521295372