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520918272 = 2832732299
BaseRepresentation
bin11111000011001…
…001010100000000
31100022012101112100
4133003021110000
52031323341042
6123405030400
715623506110
oct3703112400
91308171470
10520918272
11248054676
12126555400
1383bca484
144d27d040
1530aeb24c
hex1f0c9500

520918272 has 108 divisors (see below), whose sum is σ = 1716551200. Its totient is φ = 148829184.

The previous prime is 520918259. The next prime is 520918273. The reversal of 520918272 is 272819025.

It is a super-2 number, since 2×5209182722 = 542711692206931968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520918273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22 + ... + 32277.

Almost surely, 2520918272 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 520918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858275600).

520918272 is an abundant number, since it is smaller than the sum of its proper divisors (1195632928).

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

520918272 is a wasteful number, since it uses less digits than its factorization.

520918272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32328 (or 32311 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 520918272 is about 22823.6340664672. The cubic root of 520918272 is about 804.6182220639.

The spelling of 520918272 in words is "five hundred twenty million, nine hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 32299 64598 96897 129196 193794 226093 258392 290691 387588 452186 516784 581382 678279 775176 904372 1033568 1162764 1356558 1550352 1808744 2034837 2067136 2325528 2713116 3100704 3617488 4069674 4134272 4651056 5426232 6201408 7234976 8139348 8268544 9302112 10852464 12402816 14469952 16278696 18604224 21704928 24805632 28939904 32557392 37208448 43409856 57879808 65114784 74416896 86819712 130229568 173639424 260459136 520918272