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38526072 = 23313196797
BaseRepresentation
bin1001001011110…
…1110001111000
32200111022211120
42102331301320
534330313242
63453425240
7645315624
oct222756170
980438746
1038526072
111a824232
1210a9b220
137c9b9c0
14518c184
1535b01ec
hex24bdc78

38526072 has 128 divisors (see below), whose sum is σ = 111955200. Its totient is φ = 10948608.

The previous prime is 38526049. The next prime is 38526077. The reversal of 38526072 is 27062583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38526077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397128 + ... + 397224.

It is an arithmetic number, because the mean of its divisors is an integer number (874650).

Almost surely, 238526072 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 38526072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55977600).

38526072 is an abundant number, since it is smaller than the sum of its proper divisors (73429128).

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

38526072 is a wasteful number, since it uses less digits than its factorization.

38526072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 38526072 is about 6206.9374090609. The cubic root of 38526072 is about 337.7418754482.

The spelling of 38526072 in words is "thirty-eight million, five hundred twenty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 67 76 78 97 104 114 134 152 156 194 201 228 247 268 291 312 388 402 456 494 536 582 741 776 804 871 988 1164 1261 1273 1482 1608 1742 1843 1976 2328 2522 2546 2613 2964 3484 3686 3783 3819 5044 5092 5226 5529 5928 6499 6968 7372 7566 7638 10088 10184 10452 11058 12998 14744 15132 15276 16549 19497 20904 22116 23959 25996 30264 30552 33098 38994 44232 47918 49647 51992 66196 71877 77988 84487 95836 99294 123481 132392 143754 155976 168974 191672 198588 246962 253461 287508 337948 370443 397176 493924 506922 575016 675896 740886 987848 1013844 1481772 1605253 2027688 2963544 3210506 4815759 6421012 9631518 12842024 19263036 38526072