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38805696 = 2633171321
BaseRepresentation
bin1001010000001…
…0000011000000
32201000112102000
42110002003000
534413240241
63503424000
7650562066
oct224020300
981015360
1038805696
111a9a5326
1210bb5000
138069067
145222036
153617eb6
hex25020c0

38805696 has 112 divisors (see below), whose sum is σ = 120883680. Its totient is φ = 12165120.

The previous prime is 38805677. The next prime is 38805743. The reversal of 38805696 is 69650883.

38805696 is a `hidden beast` number, since 3 + 8 + 80 + 569 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28716 + ... + 30036.

Almost surely, 238805696 is an apocalyptic number.

38805696 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 38805696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60441840).

38805696 is an abundant number, since it is smaller than the sum of its proper divisors (82077984).

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

38805696 is a wasteful number, since it uses less digits than its factorization.

38805696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1343 counting only the distinct ones).

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

The square root of 38805696 is about 6229.4218030247. The cubic root of 38805696 is about 338.5570218422.

The spelling of 38805696 in words is "thirty-eight million, eight hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1321 1632 1728 1836 2448 2642 3264 3672 3963 4896 5284 7344 7926 9792 10568 11889 14688 15852 21136 22457 23778 29376 31704 35667 42272 44914 47556 63408 67371 71334 84544 89828 95112 126816 134742 142668 179656 190224 202113 253632 269484 285336 359312 380448 404226 538968 570672 606339 718624 760896 808452 1077936 1141344 1212678 1437248 1616904 2155872 2282688 2425356 3233808 4311744 4850712 6467616 9701424 12935232 19402848 38805696