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93253104 = 24327711303
BaseRepresentation
bin1011000111011…
…10110111110000
320111110202012200
411203232313300
5142333044404
613130423200
72211431640
oct543566760
9214422180
1093253104
114870348a
1227291b00
1316420869
14c556520
1582c0839
hex58eedf0

93253104 has 120 divisors (see below), whose sum is σ = 302694912. Its totient is φ = 26248320.

The previous prime is 93253103. The next prime is 93253141. The reversal of 93253104 is 40135239.

It is a super-2 number, since 2×932531042 = 17392282811269632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93253103) 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, 70917 + ... + 72219.

Almost surely, 293253104 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 93253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151347456).

93253104 is an abundant number, since it is smaller than the sum of its proper divisors (209441808).

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

93253104 is a wasteful number, since it uses less digits than its factorization.

93253104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1386 counting only the distinct ones).

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

The square root of 93253104 is about 9656.7646756044. The cubic root of 93253104 is about 453.4761305245.

The spelling of 93253104 in words is "ninety-three million, two hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1303 1491 1704 1988 2556 2606 2982 3408 3909 3976 4473 5112 5212 5964 7818 7952 8946 9121 10224 10424 11727 11928 15636 17892 18242 20848 23454 23856 27363 31272 35784 36484 46908 54726 62544 71568 72968 82089 92513 93816 109452 145936 164178 185026 187632 218904 277539 328356 370052 437808 555078 647591 656712 740104 832617 1110156 1295182 1313424 1480208 1665234 1942773 2220312 2590364 3330468 3885546 4440624 5180728 5828319 6660936 7771092 10361456 11656638 13321872 15542184 23313276 31084368 46626552 93253104