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93134208 = 273409593
BaseRepresentation
bin1011000110100…
…01110110000000
320111020201010010
411203101312000
5142320243313
613124104520
72210425206
oct543216600
9214221103
1093134208
1148632122
1227235140
13163ab6cb
14c525076
15829a4c3
hex58d1d80

93134208 has 64 divisors (see below), whose sum is σ = 248410800. Its totient is φ = 30916608.

The previous prime is 93134201. The next prime is 93134243. The reversal of 93134208 is 80243139.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93134201) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 156760 + ... + 157352.

Almost surely, 293134208 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 93134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124205400).

93134208 is an abundant number, since it is smaller than the sum of its proper divisors (155276592).

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

93134208 is a wasteful number, since it uses less digits than its factorization.

93134208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 93134208 is about 9650.6066130581. The cubic root of 93134208 is about 453.2833239721.

The spelling of 93134208 in words is "ninety-three million, one hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 409 593 818 1186 1227 1636 1779 2372 2454 3272 3558 4744 4908 6544 7116 9488 9816 13088 14232 18976 19632 26176 28464 37952 39264 52352 56928 75904 78528 113856 157056 227712 242537 485074 727611 970148 1455222 1940296 2910444 3880592 5820888 7761184 11641776 15522368 23283552 31044736 46567104 93134208