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93328290 = 232511313041
BaseRepresentation
bin1011001000000…
…01001110100010
320111121120100100
411210001032202
5142343001130
613132203230
72212164066
oct544011642
9214546310
1093328290
1148754a20
1227309516
1316448b53
14c575aa6
1582d7c60
hex59013a2

93328290 has 96 divisors (see below), whose sum is σ = 273341952. Its totient is φ = 21888000.

The previous prime is 93328267. The next prime is 93328303. The reversal of 93328290 is 9282339.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29170 + ... + 32210.

It is an arithmetic number, because the mean of its divisors is an integer number (2847312).

Almost surely, 293328290 is an apocalyptic number.

93328290 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 93328290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136670976).

93328290 is an abundant number, since it is smaller than the sum of its proper divisors (180013662).

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

93328290 is a wasteful number, since it uses less digits than its factorization.

93328290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 93328290 is about 9660.6568099690. The cubic root of 93328290 is about 453.5979706058.

The spelling of 93328290 in words is "ninety-three million, three hundred twenty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 990 1023 1395 1705 2046 2790 3041 3069 3410 5115 6082 6138 9123 10230 15205 15345 18246 27369 30410 30690 33451 45615 54738 66902 91230 94271 100353 136845 167255 188542 200706 273690 282813 301059 334510 471355 501765 565626 602118 848439 942710 1003530 1036981 1414065 1505295 1696878 2073962 2828130 3010590 3110943 4242195 5184905 6221886 8484390 9332829 10369810 15554715 18665658 31109430 46664145 93328290