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93055312 = 2472196247
BaseRepresentation
bin1011000101111…
…10100101010000
320111002200220001
411202332211100
5142310232222
613122255344
72206646200
oct542764520
9214080801
1093055312
1148588919
12271b7554
131638181c
14c504400
158281e27
hex58be950

93055312 has 60 divisors (see below), whose sum is σ = 220804320. Its totient is φ = 37775808.

The previous prime is 93055283. The next prime is 93055321. The reversal of 93055312 is 21355039.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11773 + ... + 18019.

It is an arithmetic number, because the mean of its divisors is an integer number (3680072).

Almost surely, 293055312 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 93055312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110402160).

93055312 is an abundant number, since it is smaller than the sum of its proper divisors (127749008).

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

93055312 is a wasteful number, since it uses less digits than its factorization.

93055312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 93055312 is about 9646.5181283197. The cubic root of 93055312 is about 453.1552924465.

The spelling of 93055312 in words is "ninety-three million, fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 6247 7448 12494 14896 24988 43729 49976 87458 99952 118693 174916 237386 306103 349832 474772 612206 699664 830851 949544 1224412 1661702 1899088 2448824 3323404 4897648 5815957 6646808 11631914 13293616 23263828 46527656 93055312