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39094272 = 211337101
BaseRepresentation
bin1001010100100…
…0100000000000
32201120012021000
42111020200000
540002004042
63513532000
7653203320
oct225104000
981505230
1039094272
1120082118
1211114000
13813a509
145299280
15367374c
hex2548800

39094272 has 192 divisors, whose sum is σ = 133660800. Its totient is φ = 11059200.

The previous prime is 39094261. The next prime is 39094303. The reversal of 39094272 is 27249093.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387022 + ... + 387122.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 239094272 is an apocalyptic number.

39094272 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 39094272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

39094272 is an abundant number, since it is smaller than the sum of its proper divisors (94566528).

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

39094272 is a wasteful number, since it uses less digits than its factorization.

39094272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 39094272 is about 6252.5412433666. The cubic root of 39094272 is about 339.3941691196.

The spelling of 39094272 in words is "thirty-nine million, ninety-four thousand, two hundred seventy-two".