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93039296 = 267972141
BaseRepresentation
bin1011000101110…
…10101011000000
320111001212220212
411202322223000
5142304224141
613122053252
72206551410
oct542725300
9214055825
1093039296
1148577889
12271aa228
131637744c
14c4dc640
15827c2eb
hex58baac0

93039296 has 56 divisors (see below), whose sum is σ = 213274656. Its totient is φ = 39444480.

The previous prime is 93039293. The next prime is 93039307. The reversal of 93039296 is 69293039.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (93039293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42386 + ... + 44526.

It is an arithmetic number, because the mean of its divisors is an integer number (3808476).

Almost surely, 293039296 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 93039296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106637328).

93039296 is an abundant number, since it is smaller than the sum of its proper divisors (120235360).

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

93039296 is a wasteful number, since it uses less digits than its factorization.

93039296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 41.

The square root of 93039296 is about 9645.6879485084. The cubic root of 93039296 is about 453.1292930295.

The spelling of 93039296 in words is "ninety-three million, thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 448 679 776 1358 1552 2141 2716 3104 4282 5432 6208 8564 10864 14987 17128 21728 29974 34256 43456 59948 68512 119896 137024 207677 239792 415354 479584 830708 959168 1453739 1661416 2907478 3322832 5814956 6645664 11629912 13291328 23259824 46519648 93039296