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93133968 = 2438397241
BaseRepresentation
bin1011000110100…
…01110010010000
320111020200210020
411203101302100
5142320241333
613124103440
72210424414
oct543216220
9214220706
1093133968
1148631a24
1227234b80
13163ab575
14c524d44
15829a3b3
hex58d1c90

93133968 has 80 divisors (see below), whose sum is σ = 247025856. Its totient is φ = 30228480.

The previous prime is 93133949. The next prime is 93133981. The reversal of 93133968 is 86933139.

Its product of digits (104976) is a multiple of the sum of its prime factors (432).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386328 + ... + 386568.

Almost surely, 293133968 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 93133968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123512928).

93133968 is an abundant number, since it is smaller than the sum of its proper divisors (153891888).

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

93133968 is a wasteful number, since it uses less digits than its factorization.

93133968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 93133968 is about 9650.5941785985. The cubic root of 93133968 is about 453.2829346125.

The spelling of 93133968 in words is "ninety-three million, one hundred thirty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 97 166 194 241 249 291 332 388 482 498 582 664 723 776 964 996 1164 1328 1446 1552 1928 1992 2328 2892 3856 3984 4656 5784 8051 11568 16102 20003 23377 24153 32204 40006 46754 48306 60009 64408 70131 80012 93508 96612 120018 128816 140262 160024 187016 193224 240036 280524 320048 374032 386448 480072 561048 960144 1122096 1940291 3880582 5820873 7761164 11641746 15522328 23283492 31044656 46566984 93133968