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2523003252 = 22371117160619
BaseRepresentation
bin1001011001100001…
…1111100101110100
320111211110211210220
42112120133211310
520131342101002
61054204414340
7116344113420
oct22630374564
96454424726
102523003252
111085195760
125a4b473b0
13312924843
1419d11bb80
15eb7717bc
hex9661f974

2523003252 has 96 divisors (see below), whose sum is σ = 7771438080. Its totient is φ = 616773120.

The previous prime is 2523003251. The next prime is 2523003311.

2523003252 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523003251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64602 + ... + 96017.

It is an arithmetic number, because the mean of its divisors is an integer number (80952480).

Almost surely, 22523003252 is an apocalyptic number.

2523003252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2523003252 is an abundant number, since it is smaller than the sum of its proper divisors (5248434828).

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

2523003252 is a wasteful number, since it uses less digits than its factorization.

2523003252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160661 (or 160659 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2523003252 is about 50229.5057909193. The cubic root of 2523003252 is about 1361.3588012580.

It can be divided in two parts, 252300 and 3252, that added together give a palindrome (255552).

The spelling of 2523003252 in words is "two billion, five hundred twenty-three million, three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 15708 160619 321238 481857 642476 963714 1124333 1766809 1927428 2248666 2730523 3372999 3533618 4497332 5300427 5461046 6745998 7067236 8191569 10600854 10922092 12367663 13491996 16383138 19113661 21201708 24735326 30035753 32766276 37102989 38227322 49470652 57340983 60071506 74205978 76454644 90107259 114681966 120143012 148411956 180214518 210250271 229363932 360429036 420500542 630750813 841001084 1261501626 2523003252