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93213252 = 223211401587
BaseRepresentation
bin1011000111001…
…01001001000100
320111101201112200
411203211021010
5142330311002
613125514500
72211204516
oct543451104
9214351480
1093213252
1148686550
1227272a30
1316408692
14c545bb6
1582b3b1c
hex58e5244

93213252 has 72 divisors (see below), whose sum is σ = 258122592. Its totient is φ = 28128000.

The previous prime is 93213247. The next prime is 93213271. The reversal of 93213252 is 25231239.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158503 + ... + 159089.

It is an arithmetic number, because the mean of its divisors is an integer number (3585036).

Almost surely, 293213252 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 93213252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129061296).

93213252 is an abundant number, since it is smaller than the sum of its proper divisors (164909340).

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

93213252 is a wasteful number, since it uses less digits than its factorization.

93213252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1004 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 93213252 is about 9654.7010311040. The cubic root of 93213252 is about 453.4115231818.

The spelling of 93213252 in words is "ninety-three million, two hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 401 587 802 1174 1203 1604 1761 2348 2406 3522 3609 4411 4812 5283 6457 7044 7218 8822 10566 12914 13233 14436 17644 19371 21132 25828 26466 38742 39699 52932 58113 77484 79398 116226 158796 232452 235387 470774 706161 941548 1412322 2118483 2589257 2824644 4236966 5178514 7767771 8473932 10357028 15535542 23303313 31071084 46606626 93213252