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38932152 = 23372961131
BaseRepresentation
bin1001010010000…
…0111010111000
32201020221212120
42110200322320
534431312102
63510241240
7651626550
oct224407270
981227776
1038932152
111aa81336
1211056220
1380b179c
145256160
1536406bc
hex2520eb8

38932152 has 128 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 10483200.

The previous prime is 38932147. The next prime is 38932171. The reversal of 38932152 is 25123983.

It is a super-2 number, since 2×389321522 = 3031424918702208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297127 + ... + 297257.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 238932152 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 38932152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

38932152 is an abundant number, since it is smaller than the sum of its proper divisors (78917448).

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

38932152 is a wasteful number, since it uses less digits than its factorization.

38932152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 38932152 is about 6239.5634462677. The cubic root of 38932152 is about 338.9243746690.

The spelling of 38932152 in words is "thirty-eight million, nine hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 61 84 87 116 122 131 168 174 183 203 232 244 262 348 366 393 406 427 488 524 609 696 732 786 812 854 917 1048 1218 1281 1464 1572 1624 1708 1769 1834 2436 2562 2751 3144 3416 3538 3668 3799 4872 5124 5307 5502 7076 7336 7598 7991 10248 10614 11004 11397 12383 14152 15196 15982 21228 22008 22794 23973 24766 26593 30392 31964 37149 42456 45588 47946 49532 53186 55937 63928 74298 79779 91176 95892 99064 106372 111874 148596 159558 167811 191784 212744 223748 231739 297192 319116 335622 447496 463478 638232 671244 695217 926956 1342488 1390434 1622173 1853912 2780868 3244346 4866519 5561736 6488692 9733038 12977384 19466076 38932152