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39951968 = 257593023
BaseRepresentation
bin1001100001100…
…1111001100000
32210011202210112
42120121321200
540211430333
63544150452
7663405020
oct230317140
983152715
1039951968
1120608561
1211468428
13837aa24
14543da80
153792948
hex2619e60

39951968 has 48 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 16826496.

The previous prime is 39951931. The next prime is 39951973. The reversal of 39951968 is 86915993.

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 7 ways as a sum of consecutive naturals, for example, 11705 + ... + 14727.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 239951968 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 39951968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

39951968 is an abundant number, since it is smaller than the sum of its proper divisors (51493792).

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

39951968 is a wasteful number, since it uses less digits than its factorization.

39951968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3091 counting only the distinct ones).

The product of its digits is 524880, while the sum is 50.

The square root of 39951968 is about 6320.7569166991. The cubic root of 39951968 is about 341.8582452321.

The spelling of 39951968 in words is "thirty-nine million, nine hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3023 3304 6046 6608 12092 13216 21161 24184 42322 48368 84644 96736 169288 178357 338576 356714 677152 713428 1248499 1426856 2496998 2853712 4993996 5707424 9987992 19975984 39951968