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5203472832 = 263325711717
BaseRepresentation
bin1001101100010011…
…01011000111000000
3111102122020210211000
410312021223013000
541124042112312
62220200252000
7242642534505
oct46611530700
914378223730
105203472832
112230252178
121012771000
1364c06080c
143751094ac
15206c49adc
hex13626b1c0

5203472832 has 112 divisors (see below), whose sum is σ = 15358079520. Its totient is φ = 1727594496.

The previous prime is 5203472819. The next prime is 5203472839. The reversal of 5203472832 is 2382743025.

5203472832 is a `hidden beast` number, since 520 + 34 + 72 + 8 + 32 = 666.

It is a super-2 number, since 2×52034728322 = 54152259026724200448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (5203472839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438238 + ... + 449954.

It is an arithmetic number, because the mean of its divisors is an integer number (137125710).

Almost surely, 25203472832 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 5203472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679039760).

5203472832 is an abundant number, since it is smaller than the sum of its proper divisors (10154606688).

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

5203472832 is a wasteful number, since it uses less digits than its factorization.

5203472832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11995 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5203472832 is about 72135.1012475896. The cubic root of 5203472832 is about 1732.8638047116.

The spelling of 5203472832 in words is "five billion, two hundred three million, four hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 257 288 432 514 576 771 864 1028 1542 1728 2056 2313 3084 4112 4626 6168 6939 8224 9252 11717 12336 13878 16448 18504 23434 24672 27756 35151 37008 46868 49344 55512 70302 74016 93736 105453 111024 140604 148032 187472 210906 222048 281208 316359 374944 421812 444096 562416 632718 749888 843624 1124832 1265436 1687248 2249664 2530872 3011269 3374496 5061744 6022538 6748992 9033807 10123488 12045076 18067614 20246976 24090152 27101421 36135228 48180304 54202842 72270456 81304263 96360608 108405684 144540912 162608526 192721216 216811368 289081824 325217052 433622736 578163648 650434104 867245472 1300868208 1734490944 2601736416 5203472832