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1313809952 = 25721364453
BaseRepresentation
bin100111001001111…
…0010011000100000
310101120011110102212
41032103302120200
510142313404302
6334211301252
744362125500
oct11623623040
93346143385
101313809952
1161467a954
12307baa828
1317c261a50
14c66b7a00
157a51c052
hex4e4f2620

1313809952 has 72 divisors (see below), whose sum is σ = 3240360396. Its totient is φ = 519740928.

The previous prime is 1313809909. The next prime is 1313809969. The reversal of 1313809952 is 2599083131.

It can be written as a sum of positive squares in 2 ways, for example, as 926350096 + 387459856 = 30436^2 + 19684^2 .

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 11 ways as a sum of consecutive naturals, for example, 11843 + ... + 52610.

Almost surely, 21313809952 is an apocalyptic number.

It is an amenable number.

1313809952 is an abundant number, since it is smaller than the sum of its proper divisors (1926550444).

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

1313809952 is a wasteful number, since it uses less digits than its factorization.

1313809952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64490 (or 64475 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 1313809952 is about 36246.5164119257. The cubic root of 1313809952 is about 1095.2439152771.

The spelling of 1313809952 in words is "one billion, three hundred thirteen million, eight hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 10192 20384 64453 128906 257812 451171 515624 837889 902342 1031248 1675778 1804684 2062496 3158197 3351556 3609368 5865223 6316394 6703112 7218736 11730446 12632788 13406224 14437472 23460892 25265576 26812448 41056561 46921784 50531152 82113122 93843568 101062304 164226244 187687136 328452488 656904976 1313809952