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3268522952 = 23172292412
BaseRepresentation
bin1100001011010001…
…1011001111001000
322102210022011120122
43002310123033020
523143220213302
61300155442412
7143665662302
oct30264331710
98383264518
103268522952
111427aa5742
12772756408
13401210c66
14230144972
15141e363a2
hexc2d1b3c8

3268522952 has 108 divisors (see below), whose sum is σ = 6910875465. Its totient is φ = 1448867840.

The previous prime is 3268522877. The next prime is 3268522963. The reversal of 3268522952 is 2592258623.

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 can be written as a sum of positive squares in 14 ways, for example, as 191158276 + 3077364676 = 13826^2 + 55474^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=40426.

It is a Duffinian number.

Its product of digits (518400) is a multiple of the sum of its prime factors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79720052 + ... + 79720092.

Almost surely, 23268522952 is an apocalyptic number.

It is an amenable number.

3268522952 is an abundant number, since it is smaller than the sum of its proper divisors (3642352513).

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

3268522952 is a wasteful number, since it uses less digits than its factorization.

3268522952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 89 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 3268522952 is about 57170.9974724947. The cubic root of 3268522952 is about 1484.0567650709.

The spelling of 3268522952 in words is "three billion, two hundred sixty-eight million, five hundred twenty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 17 29 34 41 58 68 82 116 136 164 232 289 328 493 578 697 841 986 1156 1189 1394 1681 1682 1972 2312 2378 2788 3362 3364 3944 4756 5576 6724 6728 8381 9512 11849 13448 14297 16762 20213 23698 28577 28594 33524 34481 40426 47396 48749 57154 57188 67048 68962 80852 94792 97498 114308 114376 137924 161704 194996 228616 243049 275848 343621 389992 485809 486098 586177 687242 828733 971618 972196 1172354 1374484 1413721 1657466 1943236 1944392 2344708 2748968 2827442 3314932 3886472 4689416 5654884 6629864 9965009 11309768 14088461 19930018 24033257 28176922 39860036 48066514 56353844 79720072 96133028 112707688 192266056 408565369 817130738 1634261476 3268522952