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93419144 = 2371329871
BaseRepresentation
bin1011001000101…
…11011010001000
320111210011222022
411210113122020
5142403403034
613134144012
72213023010
oct544273210
9214704868
1093419144
1148807205
1227352008
131647b300
14c59ac40
158304b2e
hex5917688

93419144 has 48 divisors (see below), whose sum is σ = 216789120. Its totient is φ = 36953280.

The previous prime is 93419101. The next prime is 93419167. The reversal of 93419144 is 44191439.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4529 + ... + 14399.

It is an arithmetic number, because the mean of its divisors is an integer number (4516440).

Almost surely, 293419144 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 93419144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108394560).

93419144 is an abundant number, since it is smaller than the sum of its proper divisors (123369976).

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

93419144 is a wasteful number, since it uses less digits than its factorization.

93419144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9910 (or 9893 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 93419144 is about 9665.3579343964. The cubic root of 93419144 is about 453.7451136438.

The spelling of 93419144 in words is "ninety-three million, four hundred nineteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 9464 9871 19742 39484 69097 78968 128323 138194 256646 276388 513292 552776 898261 1026584 1668199 1796522 3336398 3593044 6672796 7186088 11677393 13345592 23354786 46709572 93419144