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93070144 = 262322749
BaseRepresentation
bin1011000110000…
…10001101000000
320111010110020101
411203002031000
5142311221034
613122452144
72210040346
oct543021500
9214113211
1093070144
1148598a82
1227204054
13163884bb
14c509996
158286514
hex58c2340

93070144 has 42 divisors (see below), whose sum is σ = 193135250. Its totient is φ = 44495616.

The previous prime is 93070139. The next prime is 93070157. The reversal of 93070144 is 44107039.

It can be written as a sum of positive squares in only one way, i.e., 62599744 + 30470400 = 7912^2 + 5520^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32482 + ... + 35230.

Almost surely, 293070144 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 93070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96567625).

93070144 is an abundant number, since it is smaller than the sum of its proper divisors (100065106).

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

93070144 is a wasteful number, since it uses less digits than its factorization.

93070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 93070144 is about 9647.2868724839. The cubic root of 93070144 is about 453.1793671683.

The spelling of 93070144 in words is "ninety-three million, seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 2749 4232 5498 8464 10996 16928 21992 33856 43984 63227 87968 126454 175936 252908 505816 1011632 1454221 2023264 2908442 4046528 5816884 11633768 23267536 46535072 93070144