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93325104 = 24321767569
BaseRepresentation
bin1011001000000…
…00011100110000
320111121101222100
411210000130300
5142342400404
613132140400
72212151565
oct544003460
9214541870
1093325104
1148752594
1227307700
1316447572
14c57486c
1582d6d39
hex5900730

93325104 has 120 divisors (see below), whose sum is σ = 281165040. Its totient is φ = 28790784.

The previous prime is 93325091. The next prime is 93325109. The reversal of 93325104 is 40152339.

It is a super-2 number, since 2×933251042 = 17419150073221632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93325109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163732 + ... + 164300.

It is an arithmetic number, because the mean of its divisors is an integer number (2343042).

Almost surely, 293325104 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 93325104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140582520).

93325104 is an abundant number, since it is smaller than the sum of its proper divisors (187839936).

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

93325104 is a wasteful number, since it uses less digits than its factorization.

93325104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 93325104 is about 9660.4919129411. The cubic root of 93325104 is about 453.5928089712.

The spelling of 93325104 in words is "ninety-three million, three hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 67 68 72 102 134 136 144 153 201 204 268 272 306 402 408 536 569 603 612 804 816 1072 1138 1139 1206 1224 1608 1707 2276 2278 2412 2448 3216 3414 3417 4552 4556 4824 5121 6828 6834 9104 9112 9648 9673 10242 10251 13656 13668 18224 19346 20484 20502 27312 27336 29019 38123 38692 40968 41004 54672 58038 76246 77384 81936 82008 87057 114369 116076 152492 154768 164016 174114 228738 232152 304984 343107 348228 457476 464304 609968 648091 686214 696456 914952 1296182 1372428 1392912 1829904 1944273 2592364 2744856 3888546 5184728 5489712 5832819 7777092 10369456 11665638 15554184 23331276 31108368 46662552 93325104