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93005304 = 23371929137
BaseRepresentation
bin1011000101100…
…10010111111000
320111000011021220
411202302113320
5142302132204
613121232040
72206350330
oct542622770
9214004256
1093005304
1148554297
1227192620
1316364b32
14c4d00c0
1582721d9
hex58b25f8

93005304 has 64 divisors (see below), whose sum is σ = 279724800. Its totient is φ = 25173504.

The previous prime is 93005287. The next prime is 93005321. The reversal of 93005304 is 40350039.

It is an interprime number because it is at equal distance from previous prime (93005287) and next prime (93005321).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11377 + ... + 17760.

It is an arithmetic number, because the mean of its divisors is an integer number (4370700).

Almost surely, 293005304 is an apocalyptic number.

It is an amenable number.

93005304 is an abundant number, since it is smaller than the sum of its proper divisors (186719496).

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

93005304 is a wasteful number, since it uses less digits than its factorization.

93005304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29172 (or 29168 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 93005304 is about 9643.9257566615. The cubic root of 93005304 is about 453.0741025606.

The spelling of 93005304 in words is "ninety-three million, five thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 29137 58274 87411 116548 174822 203959 233096 349644 407918 553603 611877 699288 815836 1107206 1223754 1631672 1660809 2214412 2447508 3321618 3875221 4428824 4895016 6643236 7750442 11625663 13286472 15500884 23251326 31001768 46502652 93005304