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1285038272 = 2677339293
BaseRepresentation
bin100110010011000…
…0010000011000000
310022120000201010002
41030212002003000
510112432211042
6331302455132
743562434160
oct11446020300
93276021102
101285038272
115aa409301
122ba4344a8
131762c9b9b
14c29485a0
1577c37132
hex4c9820c0

1285038272 has 56 divisors (see below), whose sum is σ = 2954280096. Its totient is φ = 543172608.

The previous prime is 1285038263. The next prime is 1285038281. The reversal of 1285038272 is 2728305821.

It is an interprime number because it is at equal distance from previous prime (1285038263) and next prime (1285038281).

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13058 + ... + 52350.

Almost surely, 21285038272 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 1285038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477140048).

1285038272 is an abundant number, since it is smaller than the sum of its proper divisors (1669241824).

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

1285038272 is an equidigital number, since it uses as much as digits as its factorization.

1285038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39385 (or 39375 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 1285038272 is about 35847.4304797429. The cubic root of 1285038272 is about 1087.1897622471.

The spelling of 1285038272 in words is "one billion, two hundred eighty-five million, thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 224 292 448 511 584 1022 1168 2044 2336 4088 4672 8176 16352 32704 39293 78586 157172 275051 314344 550102 628688 1100204 1257376 2200408 2514752 2868389 4400816 5736778 8801632 11473556 17603264 20078723 22947112 40157446 45894224 80314892 91788448 160629784 183576896 321259568 642519136 1285038272