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39996672 = 283192741
BaseRepresentation
bin1001100010010…
…0110100000000
32210021001010020
42120210310000
540214343142
63545133440
7663652242
oct230446400
983231106
1039996672
1120639101
121148a280
138395191
145452092
1537a0cec
hex2624d00

39996672 has 72 divisors (see below), whose sum is σ = 112092960. Its totient is φ = 12625920.

The previous prime is 39996661. The next prime is 39996683. The reversal of 39996672 is 27669993.

It is an interprime number because it is at equal distance from previous prime (39996661) and next prime (39996683).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13222 + ... + 15962.

Almost surely, 239996672 is an apocalyptic number.

39996672 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 39996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56046480).

39996672 is an abundant number, since it is smaller than the sum of its proper divisors (72096288).

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

39996672 is a wasteful number, since it uses less digits than its factorization.

39996672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2765 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 51.

The square root of 39996672 is about 6324.2922133627. The cubic root of 39996672 is about 341.9857044057.

The spelling of 39996672 in words is "thirty-nine million, nine hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 2741 3648 4864 5482 7296 8223 10964 14592 16446 21928 32892 43856 52079 65784 87712 104158 131568 156237 175424 208316 263136 312474 350848 416632 526272 624948 701696 833264 1052544 1249896 1666528 2105088 2499792 3333056 4999584 6666112 9999168 13332224 19998336 39996672