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93048252 = 223111315381
BaseRepresentation
bin1011000101111…
…00110110111100
320111002100012120
411202330312330
5142310021002
613122202540
72206616463
oct542746674
9214070176
1093048252
1148583590
12271b3450
131637b54b
14c5019da
15827ecbc
hex58bcdbc

93048252 has 48 divisors (see below), whose sum is σ = 238702464. Its totient is φ = 27976000.

The previous prime is 93048233. The next prime is 93048289. The reversal of 93048252 is 25284039.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14602 + ... + 19982.

It is an arithmetic number, because the mean of its divisors is an integer number (4972968).

Almost surely, 293048252 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 93048252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119351232).

93048252 is an abundant number, since it is smaller than the sum of its proper divisors (145654212).

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

93048252 is a wasteful number, since it uses less digits than its factorization.

93048252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 93048252 is about 9646.1521862347. The cubic root of 93048252 is about 453.1438320322.

The spelling of 93048252 in words is "ninety-three million, forty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 4323 5381 5764 8646 10762 16143 17292 21524 32286 59191 64572 118382 177573 236764 355146 704911 710292 1409822 2114733 2819644 4229466 7754021 8458932 15508042 23262063 31016084 46524126 93048252