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93329808 = 243111313597
BaseRepresentation
bin1011001000000…
…01100110010000
320111121122102120
411210001212100
5142343023213
613132214240
72212201365
oct544014620
9214548376
1093329808
1148756080
122730a380
1316449750
14c57646c
1582d8423
hex5901990

93329808 has 80 divisors (see below), whose sum is σ = 283273536. Its totient is φ = 26104320.

The previous prime is 93329783. The next prime is 93329839. The reversal of 93329808 is 80892339.

It is a super-2 number, since 2×933298082 = 17420906122633728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 93329808.

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, 66 + ... + 13662.

Almost surely, 293329808 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 93329808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141636768).

93329808 is an abundant number, since it is smaller than the sum of its proper divisors (189943728).

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

93329808 is a wasteful number, since it uses less digits than its factorization.

93329808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13632 (or 13626 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 93329808 is about 9660.7353757362. The cubic root of 93329808 is about 453.6004298743.

The spelling of 93329808 in words is "ninety-three million, three hundred twenty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 13597 27194 40791 54388 81582 108776 149567 163164 176761 217552 299134 326328 353522 448701 530283 598268 652656 707044 897402 1060566 1196536 1414088 1794804 1944371 2121132 2393072 2828176 3589608 3888742 4242264 5833113 7179216 7777484 8484528 11666226 15554968 23332452 31109936 46664904 93329808