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38260992 = 283711647
BaseRepresentation
bin1001000111110…
…1000100000000
32122222212012210
42101331010000
534243322432
63444022120
7643133040
oct221750400
978885183
1038260992
111a663060
1210991940
137c08153
14511d720
15355b8cc
hex247d100

38260992 has 144 divisors (see below), whose sum is σ = 127153152. Its totient is φ = 9922560.

The previous prime is 38260991. The next prime is 38260993. The reversal of 38260992 is 29906283.

It is an interprime number because it is at equal distance from previous prime (38260991) and next prime (38260993).

It is a self number, because there is not a number n which added to its sum of digits gives 38260992.

It is not an unprimeable number, because it can be changed into a prime (38260991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58813 + ... + 59459.

It is an arithmetic number, because the mean of its divisors is an integer number (883008).

Almost surely, 238260992 is an apocalyptic number.

38260992 is a gapful number since it is divisible by the number (32) 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 38260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63576576).

38260992 is an abundant number, since it is smaller than the sum of its proper divisors (88892160).

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

38260992 is a wasteful number, since it uses less digits than its factorization.

38260992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 38260992 is about 6185.5470251224. The cubic root of 38260992 is about 336.9654770671.

The spelling of 38260992 in words is "thirty-eight million, two hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 647 672 704 768 896 924 1056 1232 1294 1344 1408 1792 1848 1941 2112 2464 2588 2688 2816 3696 3882 4224 4529 4928 5176 5376 7117 7392 7764 8448 9058 9856 10352 13587 14234 14784 15528 18116 19712 20704 21351 27174 28468 29568 31056 36232 41408 42702 49819 54348 56936 59136 62112 72464 82816 85404 99638 108696 113872 124224 144928 149457 165632 170808 199276 217392 227744 248448 289856 298914 341616 398552 434784 455488 496896 579712 597828 683232 797104 869568 910976 1159424 1195656 1366464 1594208 1739136 1821952 2391312 2732928 3188416 3478272 4782624 5465856 6376832 9565248 12753664 19130496 38260992