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38713136 = 247211672
BaseRepresentation
bin1001001110101…
…1011100110000
32200211211102212
42103223130300
534402310021
63501431252
7650025200
oct223533460
980754385
1038713136
111a941830
1210b6b528
138035ba7
1451da400
1535ea85b
hex24eb730

38713136 has 90 divisors (see below), whose sum is σ = 96626628. Its totient is φ = 14857920.

The previous prime is 38713111. The next prime is 38713139. The reversal of 38713136 is 63131783.

38713136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38713139) 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 17 ways as a sum of consecutive naturals, for example, 577775 + ... + 577841.

Almost surely, 238713136 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 38713136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48313314).

38713136 is an abundant number, since it is smaller than the sum of its proper divisors (57913492).

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

38713136 is a wasteful number, since it uses less digits than its factorization.

38713136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 87 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 38713136 is about 6221.9881067067. The cubic root of 38713136 is about 338.2876302382.

It can be divided in two parts, 3871 and 3136, that added together give a palindrome (7007).

The spelling of 38713136 in words is "thirty-eight million, seven hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 67 77 88 98 112 134 154 176 196 268 308 392 469 536 539 616 737 784 938 1072 1078 1232 1474 1876 2156 2948 3283 3752 4312 4489 5159 5896 6566 7504 8624 8978 10318 11792 13132 17956 20636 26264 31423 35912 36113 41272 49379 52528 62846 71824 72226 82544 98758 125692 144452 197516 219961 251384 288904 345653 395032 439922 502768 577808 691306 790064 879844 1382612 1759688 2419571 2765224 3519376 4839142 5530448 9678284 19356568 38713136