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38605896 = 233572837
BaseRepresentation
bin1001001101000…
…1010001001000
32200122101100000
42103101101020
534340342041
63455243000
7646100430
oct223212110
980571300
1038605896
111a8791aa
1210b19460
137cc9134
1451ad2c0
1535c8bb6
hex24d1448

38605896 has 96 divisors (see below), whose sum is σ = 123963840. Its totient is φ = 11026368.

The previous prime is 38605877. The next prime is 38605901. The reversal of 38605896 is 69850683.

38605896 is a `hidden beast` number, since 3 + 8 + 60 + 589 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12190 + ... + 15026.

It is an arithmetic number, because the mean of its divisors is an integer number (1291290).

Almost surely, 238605896 is an apocalyptic number.

38605896 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 38605896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61981920).

38605896 is an abundant number, since it is smaller than the sum of its proper divisors (85357944).

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

38605896 is a wasteful number, since it uses less digits than its factorization.

38605896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 38605896 is about 6213.3643060744. The cubic root of 38605896 is about 337.9749756808.

The spelling of 38605896 in words is "thirty-eight million, six hundred five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 2837 3402 4536 5674 6804 8511 11348 13608 17022 19859 22696 25533 34044 39718 51066 59577 68088 76599 79436 102132 119154 153198 158872 178731 204264 229797 238308 306396 357462 459594 476616 536193 612792 689391 714924 919188 1072386 1378782 1429848 1608579 1838376 2144772 2757564 3217158 4289544 4825737 5515128 6434316 9651474 12868632 19302948 38605896