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2425892864 = 2123716007
BaseRepresentation
bin1001000010011000…
…0011000000000000
320021001202010101212
42100212003000000
514432012032424
61040415145252
7114054514643
oct22046030000
96231663355
102425892864
11103539823a
12578515228
132c8783385
1419027da5a
15e2e8d10e
hex90983000

2425892864 has 52 divisors (see below), whose sum is σ = 4982618064. Its totient is φ = 1180090368.

The previous prime is 2425892851. The next prime is 2425892867. The reversal of 2425892864 is 4682985242.

It is a super-2 number, since 2×24258928642 = 11769912375212244992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2425892867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143549 + ... + 159555.

Almost surely, 22425892864 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 2425892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491309032).

2425892864 is an abundant number, since it is smaller than the sum of its proper divisors (2556725200).

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

2425892864 is an equidigital number, since it uses as much as digits as its factorization.

2425892864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16068 (or 16046 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 50.

The square root of 2425892864 is about 49253.3538350436. The cubic root of 2425892864 is about 1343.6635590215.

The spelling of 2425892864 in words is "two billion, four hundred twenty-five million, eight hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 4096 4736 9472 16007 18944 32014 37888 64028 75776 128056 151552 256112 512224 592259 1024448 1184518 2048896 2369036 4097792 4738072 8195584 9476144 16391168 18952288 32782336 37904576 65564672 75809152 151618304 303236608 606473216 1212946432 2425892864