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39293672 = 23111971331
BaseRepresentation
bin1001010111100…
…1001011101000
32201221022210012
42111321023220
540024344142
63522111052
7654663545
oct225711350
981838705
1039293672
11201a8a10
12111ab488
1381aa1c2
14530bbcc
1536b2882
hex25792e8

39293672 has 64 divisors (see below), whose sum is σ = 86054400. Its totient is φ = 16632000.

The previous prime is 39293671. The next prime is 39293687. The reversal of 39293672 is 27639293.

39293672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (39293671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118547 + ... + 118877.

It is an arithmetic number, because the mean of its divisors is an integer number (1344600).

Almost surely, 239293672 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 39293672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43027200).

39293672 is an abundant number, since it is smaller than the sum of its proper divisors (46760728).

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

39293672 is a wasteful number, since it uses less digits than its factorization.

39293672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its digits is 122472, while the sum is 41.

The square root of 39293672 is about 6268.4664791319. The cubic root of 39293672 is about 339.9702165376.

The spelling of 39293672 in words is "thirty-nine million, two hundred ninety-three thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 19 22 38 44 71 76 88 142 152 209 284 331 418 568 662 781 836 1324 1349 1562 1672 2648 2698 3124 3641 5396 6248 6289 7282 10792 12578 14564 14839 23501 25156 29128 29678 47002 50312 59356 69179 94004 118712 138358 188008 258511 276716 446519 517022 553432 893038 1034044 1786076 2068088 3572152 4911709 9823418 19646836 39293672