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38725218 = 232717101179
BaseRepresentation
bin1001001110111…
…0011001100010
32200212110000100
42103232121202
534403201333
63502003230
7650105340
oct223563142
980773010
1038725218
111a94a914
1210b76516
13803b53c
145200990
1535ee213
hex24ee662

38725218 has 96 divisors (see below), whose sum is σ = 103109760. Its totient is φ = 10252800.

The previous prime is 38725217. The next prime is 38725223. The reversal of 38725218 is 81252783.

38725218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (38725217) 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, 216253 + ... + 216431.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 238725218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38725218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51554880).

38725218 is an abundant number, since it is smaller than the sum of its proper divisors (64384542).

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

38725218 is a wasteful number, since it uses less digits than its factorization.

38725218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 309 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 38725218 is about 6222.9589424967. The cubic root of 38725218 is about 338.3228186907.

The spelling of 38725218 in words is "thirty-eight million, seven hundred twenty-five thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 101 102 119 126 153 179 202 238 303 306 357 358 537 606 707 714 909 1071 1074 1253 1414 1611 1717 1818 2121 2142 2506 3043 3222 3434 3759 4242 5151 6086 6363 7518 9129 10302 11277 12019 12726 15453 18079 18258 21301 22554 24038 27387 30906 36057 36158 42602 54237 54774 63903 72114 108171 108474 126553 127806 162711 191709 216342 253106 307343 325422 379659 383418 614686 759318 922029 1138977 1844058 2151401 2277954 2766087 4302802 5532174 6454203 12908406 19362609 38725218