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5251796256 = 253710773039
BaseRepresentation
bin1001110010000100…
…00000110100100000
3111120000011220002110
410321002000310200
541223424440011
62225044115320
7244100350230
oct47102006440
914500156073
105251796256
112255558293
121026995b40
1365907ca65
1437b6c7cc0
1520b0e2ba6
hex139080d20

5251796256 has 96 divisors (see below), whose sum is σ = 15902853120. Its totient is φ = 1486469376.

The previous prime is 5251796233. The next prime is 5251796279. The reversal of 5251796256 is 6526971525.

It is an interprime number because it is at equal distance from previous prime (5251796233) and next prime (5251796279).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35385 + ... + 108423.

It is an arithmetic number, because the mean of its divisors is an integer number (165654720).

Almost surely, 25251796256 is an apocalyptic number.

5251796256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5251796256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7951426560).

5251796256 is an abundant number, since it is smaller than the sum of its proper divisors (10651056864).

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

5251796256 is a wasteful number, since it uses less digits than its factorization.

5251796256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73166 (or 73158 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 48.

The square root of 5251796256 is about 72469.2780148940. The cubic root of 5251796256 is about 1738.2115167847.

The spelling of 5251796256 in words is "five billion, two hundred fifty-one million, seven hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 672 749 856 1284 1498 1712 2247 2568 2996 3424 4494 5136 5992 8988 10272 11984 17976 23968 35952 71904 73039 146078 219117 292156 438234 511273 584312 876468 1022546 1168624 1533819 1752936 2045092 2337248 3067638 3505872 4090184 6135276 7011744 7815173 8180368 12270552 15630346 16360736 23445519 24541104 31260692 46891038 49082208 54706211 62521384 93782076 109412422 125042768 164118633 187564152 218824844 250085536 328237266 375128304 437649688 656474532 750256608 875299376 1312949064 1750598752 2625898128 5251796256