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3318797952 = 27322880901
BaseRepresentation
bin1100010111010000…
…1101011010000000
322120021220101220200
43011310031122000
523244103013302
61305153205200
7145146213531
oct30564153200
98507811820
103318797952
111453414028
12787560800
1340b764592
14236ab0688
1514656781c
hexc5d0d680

3318797952 has 48 divisors (see below), whose sum is σ = 9550190130. Its totient is φ = 1106265600.

The previous prime is 3318797947. The next prime is 3318797971. The reversal of 3318797952 is 2597978133.

It can be written as a sum of positive squares in only one way, i.e., 3124362816 + 194435136 = 55896^2 + 13944^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33187979522 = 22028839692398788608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1439299 + ... + 1441602.

Almost surely, 23318797952 is an apocalyptic number.

3318797952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3318797952 is an abundant number, since it is smaller than the sum of its proper divisors (6231392178).

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

3318797952 is a wasteful number, since it uses less digits than its factorization.

3318797952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880921 (or 2880906 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 3318797952 is about 57609.0092954218. The cubic root of 3318797952 is about 1491.6271208905.

The spelling of 3318797952 in words is "three billion, three hundred eighteen million, seven hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2880901 5761802 8642703 11523604 17285406 23047208 25928109 34570812 46094416 51856218 69141624 92188832 103712436 138283248 184377664 207424872 276566496 368755328 414849744 553132992 829699488 1106265984 1659398976 3318797952