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39427008 = 263297397
BaseRepresentation
bin1001011001100…
…1101111000000
32202012002200120
42112121233000
540043131013
63525020240
7656060355
oct226315700
982162616
1039427008
112028a105
1211254680
138225aba
14534462c
1536dc123
hex2599bc0

39427008 has 112 divisors (see below), whose sum is σ = 110520480. Its totient is φ = 12386304.

The previous prime is 39427007. The next prime is 39427013. The reversal of 39427008 is 80072493.

It is a self number, because there is not a number n which added to its sum of digits gives 39427008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39427007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406416 + ... + 406512.

It is an arithmetic number, because the mean of its divisors is an integer number (986790).

Almost surely, 239427008 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 39427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55260240).

39427008 is an abundant number, since it is smaller than the sum of its proper divisors (71093472).

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

39427008 is a wasteful number, since it uses less digits than its factorization.

39427008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 39427008 is about 6279.0929281227. The cubic root of 39427008 is about 340.3543249666.

It can be divided in two parts, 3942 and 7008, that multiplied together give a square (27625536 = 52562).

The spelling of 39427008 in words is "thirty-nine million, four hundred twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 73 87 96 97 116 146 174 192 194 219 232 291 292 348 388 438 464 582 584 696 776 876 928 1164 1168 1392 1552 1752 1856 2117 2328 2336 2784 2813 3104 3504 4234 4656 4672 5568 5626 6208 6351 7008 7081 8439 8468 9312 11252 12702 14016 14162 16878 16936 18624 21243 22504 25404 28324 33756 33872 42486 45008 50808 56648 67512 67744 84972 90016 101616 113296 135024 135488 169944 180032 203232 205349 226592 270048 339888 406464 410698 453184 540096 616047 679776 821396 1232094 1359552 1642792 2464188 3285584 4928376 6571168 9856752 13142336 19713504 39427008