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39938912 = 25131931163
BaseRepresentation
bin1001100001011…
…0101101100000
32210011002212222
42120112231200
540211021122
63544010212
7663321656
oct230265540
983132788
1039938912
11205a9772
1211460968
138374ac0
145438dd6
15378db42
hex2616b60

39938912 has 96 divisors (see below), whose sum is σ = 92574720. Its totient is φ = 16796160.

The previous prime is 39938911. The next prime is 39938923. The reversal of 39938912 is 21983993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39938911) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 244943 + ... + 245105.

It is an arithmetic number, because the mean of its divisors is an integer number (964320).

Almost surely, 239938912 is an apocalyptic number.

39938912 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 39938912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46287360).

39938912 is an abundant number, since it is smaller than the sum of its proper divisors (52635808).

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

39938912 is a wasteful number, since it uses less digits than its factorization.

39938912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its digits is 104976, while the sum is 44.

The square root of 39938912 is about 6319.7240446083. The cubic root of 39938912 is about 341.8210022813.

The spelling of 39938912 in words is "thirty-nine million, nine hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 76 104 124 152 163 208 247 248 304 326 403 416 494 496 589 608 652 806 988 992 1178 1304 1612 1976 2119 2356 2608 3097 3224 3952 4238 4712 5053 5216 6194 6448 7657 7904 8476 9424 10106 12388 12896 15314 16952 18848 20212 24776 30628 33904 40261 40424 49552 61256 65689 67808 80522 80848 96007 99104 122512 131378 161044 161696 192014 245024 262756 322088 384028 525512 644176 768056 1051024 1248091 1288352 1536112 2102048 2496182 3072224 4992364 9984728 19969456 39938912