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93044128 = 2517210061
BaseRepresentation
bin1011000101110…
…11110110100000
320111002010112211
411202323312200
5142304403003
613122131504
72206601452
oct542736640
9214063484
1093044128
1148580481
12271b0b94
13163796c8
14c5002d2
15827d96d
hex58bbda0

93044128 has 36 divisors (see below), whose sum is σ = 194609142. Its totient is φ = 43781120.

The previous prime is 93044117. The next prime is 93044167. The reversal of 93044128 is 82144039.

It can be written as a sum of positive squares in 3 ways, for example, as 92698384 + 345744 = 9628^2 + 588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 93044128.

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, 4218 + ... + 14278.

Almost surely, 293044128 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 93044128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97304571).

93044128 is an abundant number, since it is smaller than the sum of its proper divisors (101565014).

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

93044128 is a wasteful number, since it uses less digits than its factorization.

93044128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10105 (or 10080 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 93044128 is about 9645.9384198739. The cubic root of 93044128 is about 453.1371373237.

The spelling of 93044128 in words is "ninety-three million, forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 4624 9248 10061 20122 40244 80488 160976 171037 321952 342074 684148 1368296 2736592 2907629 5473184 5815258 11630516 23261032 46522064 93044128