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39094968 = 233111731281
BaseRepresentation
bin1001010100100…
…0101010111000
32201120020012210
42111020222320
540002014333
63513535120
7653205333
oct225105270
981506183
1039094968
11200826a0
12111144a0
13813a923
14529961a
153673a63
hex2548ab8

39094968 has 128 divisors (see below), whose sum is σ = 116951040. Its totient is φ = 10752000.

The previous prime is 39094927. The next prime is 39094981. The reversal of 39094968 is 86949093.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 138988 + ... + 139268.

It is an arithmetic number, because the mean of its divisors is an integer number (913680).

Almost surely, 239094968 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 39094968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58475520).

39094968 is an abundant number, since it is smaller than the sum of its proper divisors (77856072).

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

39094968 is a wasteful number, since it uses less digits than its factorization.

39094968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 39094968 is about 6252.5969004886. The cubic root of 39094968 is about 339.3961831993.

The spelling of 39094968 in words is "thirty-nine million, ninety-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 31 33 34 44 51 62 66 68 88 93 102 124 132 136 186 187 204 248 264 281 341 372 374 408 527 561 562 682 744 748 843 1023 1054 1122 1124 1364 1496 1581 1686 2046 2108 2244 2248 2728 3091 3162 3372 4092 4216 4488 4777 5797 6182 6324 6744 8184 8711 9273 9554 11594 12364 12648 14331 17391 17422 18546 19108 23188 24728 26133 28662 34782 34844 37092 38216 46376 52266 52547 57324 69564 69688 74184 95821 104532 105094 114648 139128 148087 157641 191642 209064 210188 287463 296174 315282 383284 420376 444261 574926 592348 630564 766568 888522 1149852 1184696 1261128 1628957 1777044 2299704 3257914 3554088 4886871 6515828 9773742 13031656 19547484 39094968