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6040002496 = 261126431213
BaseRepresentation
bin1011010000000001…
…10001111111000000
3120120221022220210011
411220000301333000
544332220034441
62435202114304
7302451113503
oct55000617700
916527286704
106040002496
11261a473300
12120694b994
13753463798
1441426313a
152553da581
hex168031fc0

6040002496 has 84 divisors (see below), whose sum is σ = 13205654056. Its totient is φ = 2738926080.

The previous prime is 6040002481. The next prime is 6040002509. The reversal of 6040002496 is 6942000406.

It is a congruent number.

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, 4978786 + ... + 4979998.

Almost surely, 26040002496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6040002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602827028).

6040002496 is an abundant number, since it is smaller than the sum of its proper divisors (7165651560).

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

6040002496 is a wasteful number, since it uses less digits than its factorization.

6040002496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 6040002496 is about 77717.4529690725. The cubic root of 6040002496 is about 1821.1499491072.

The spelling of 6040002496 in words is "six billion, forty million, two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 643 704 968 1213 1286 1936 2426 2572 3872 4852 5144 7073 7744 9704 10288 13343 14146 19408 20576 26686 28292 38816 41152 53372 56584 77632 77803 106744 113168 146773 155606 213488 226336 293546 311212 426976 452672 587092 622424 779959 853952 1174184 1244848 1559918 2348368 2489696 3119836 4696736 4979392 6239672 8579549 9393472 12479344 17159098 24958688 34318196 49917376 68636392 94375039 137272784 188750078 274545568 377500156 549091136 755000312 1510000624 3020001248 6040002496