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38904957 = 3271367709
BaseRepresentation
bin1001010001101…
…0010001111101
32201012120120100
42110122101331
534424424312
63505511313
7651454350
oct224322175
981176510
1038904957
111aa62963
1211042539
1380a22b0
14524a297
1536375dc
hex251a47d

38904957 has 48 divisors (see below), whose sum is σ = 70295680. Its totient is φ = 20186496.

The previous prime is 38904953. The next prime is 38904973. The reversal of 38904957 is 75940983.

38904957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38904957 - 22 = 38904953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38904953) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 54519 + ... + 55227.

Almost surely, 238904957 is an apocalyptic number.

It is an amenable number.

38904957 is a deficient number, since it is larger than the sum of its proper divisors (31390723).

38904957 is a wasteful number, since it uses less digits than its factorization.

38904957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 38904957 is about 6237.3838265734. The cubic root of 38904957 is about 338.8454408073.

The spelling of 38904957 in words is "thirty-eight million, nine hundred four thousand, nine hundred fifty-seven".

Divisors: 1 3 7 9 13 21 39 63 67 91 117 201 273 469 603 709 819 871 1407 2127 2613 4221 4963 6097 6381 7839 9217 14889 18291 27651 44667 47503 54873 64519 82953 142509 193557 332521 427527 580671 617539 997563 1852617 2992689 4322773 5557851 12968319 38904957