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520827372 = 2232135711949
BaseRepresentation
bin11111000010110…
…011000111101100
31100022000202211200
4133002303013230
52031312433442
6123403045500
715622650102
oct3702630754
91308022750
10520827372
11247aa234a
12126510890
1383b97ca0
144d257c72
1530ace34c
hex1f0b31ec

520827372 has 72 divisors (see below), whose sum is σ = 1421019600. Its totient is φ = 159891840.

The previous prime is 520827371. The next prime is 520827379. The reversal of 520827372 is 273728025.

It is a happy number.

It is a super-2 number, since 2×5208273722 = 542522302848852768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (520827371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266254 + ... + 268202.

Almost surely, 2520827372 is an apocalyptic number.

520827372 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 520827372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710509800).

520827372 is an abundant number, since it is smaller than the sum of its proper divisors (900192228).

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

520827372 is a wasteful number, since it uses less digits than its factorization.

520827372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 520827372 is about 22821.6426227386. The cubic root of 520827372 is about 804.5714175042.

The spelling of 520827372 in words is "five hundred twenty million, eight hundred twenty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 571 1142 1713 1949 2284 3426 3898 5139 5847 6852 7423 7796 10278 11694 14846 17541 20556 22269 23388 25337 29692 35082 44538 50674 66807 70164 76011 89076 101348 133614 152022 228033 267228 304044 456066 912132 1112879 2225758 3338637 4451516 6677274 10015911 13354548 14467427 20031822 28934854 40063644 43402281 57869708 86804562 130206843 173609124 260413686 520827372