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93040152 = 23323414111
BaseRepresentation
bin1011000101110…
…10111000011000
320111001221002120
411202322320120
5142304241102
613122101240
72206554042
oct542727030
9214057076
1093040152
1148578497
12271aa820
131637795a
14c4dca92
15827c6bc
hex58bae18

93040152 has 64 divisors (see below), whose sum is σ = 248693760. Its totient is φ = 28934400.

The previous prime is 93040147. The next prime is 93040159. The reversal of 93040152 is 25104039.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93040159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20577 + ... + 24687.

It is an arithmetic number, because the mean of its divisors is an integer number (3885840).

Almost surely, 293040152 is an apocalyptic number.

93040152 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93040152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124346880).

93040152 is an abundant number, since it is smaller than the sum of its proper divisors (155653608).

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

93040152 is a wasteful number, since it uses less digits than its factorization.

93040152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 93040152 is about 9645.7323205654. The cubic root of 93040152 is about 453.1306826842.

The spelling of 93040152 in words is "ninety-three million, forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 492 552 943 984 1886 2829 3772 4111 5658 7544 8222 11316 12333 16444 22632 24666 32888 49332 94553 98664 168551 189106 283659 337102 378212 505653 567318 674204 756424 1011306 1134636 1348408 2022612 2269272 3876673 4045224 7753346 11630019 15506692 23260038 31013384 46520076 93040152