Search a number
-
+
93200382 = 2341152301
BaseRepresentation
bin1011000111000…
…01111111111110
320111101001220000
411203201333332
5142324403012
613125335130
72211122142
oct543417776
9214331800
1093200382
1148677910
12272674a6
1316402872
14c541222
1582aeddc
hex58e1ffe

93200382 has 40 divisors (see below), whose sum is σ = 227827512. Its totient is φ = 28242000.

The previous prime is 93200363. The next prime is 93200399. The reversal of 93200382 is 28300239.

It is a super-2 number, since 2×932003822 = 17372622409891848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24369 + ... + 27932.

Almost surely, 293200382 is an apocalyptic number.

93200382 is an abundant number, since it is smaller than the sum of its proper divisors (134627130).

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

93200382 is a wasteful number, since it uses less digits than its factorization.

93200382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52326 (or 52317 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 93200382 is about 9654.0344934126. The cubic root of 93200382 is about 453.3906546366.

The spelling of 93200382 in words is "ninety-three million, two hundred thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 52301 104602 156903 313806 470709 575311 941418 1150622 1412127 1725933 2824254 3451866 4236381 5177799 8472762 10355598 15533397 31066794 46600191 93200382