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39028896 = 2532294673
BaseRepresentation
bin1001010011100…
…0100010100000
32201102212120200
42110320202200
534442411041
63512305200
7652511604
oct224704240
981385520
1039028896
1120037a95
12110a2200
13811682a
14527d504
15365e1b6
hex25388a0

39028896 has 72 divisors (see below), whose sum is σ = 114840180. Its totient is φ = 12558336.

The previous prime is 39028879. The next prime is 39028901. The reversal of 39028896 is 69882093.

It can be written as a sum of positive squares in 2 ways, for example, as 35569296 + 3459600 = 5964^2 + 1860^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6016 + ... + 10688.

Almost surely, 239028896 is an apocalyptic number.

39028896 is a gapful number since it is divisible by the number (36) 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 39028896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57420090).

39028896 is an abundant number, since it is smaller than the sum of its proper divisors (75811284).

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

39028896 is a wasteful number, since it uses less digits than its factorization.

39028896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 39028896 is about 6247.3111015860. The cubic root of 39028896 is about 339.2048778520.

The spelling of 39028896 in words is "thirty-nine million, twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 4673 8352 9346 14019 18692 28038 37384 42057 56076 74768 84114 112152 135517 149536 168228 224304 271034 336456 406551 448608 542068 672912 813102 1084136 1219653 1345824 1626204 2168272 2439306 3252408 4336544 4878612 6504816 9757224 13009632 19514448 39028896