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93205242 = 2341344257
BaseRepresentation
bin1011000111000…
…11001011111010
320111101022120000
411203203023322
5142330031432
613125413430
72211142254
oct543431372
9214338500
1093205242
1148680529
122726a276
1316404b40
14c542cd4
1582b157c
hex58e32fa

93205242 has 40 divisors (see below), whose sum is σ = 224919156. Its totient is φ = 28677888.

The previous prime is 93205219. The next prime is 93205247. The reversal of 93205242 is 24250239.

It can be written as a sum of positive squares in 2 ways, for example, as 92563641 + 641601 = 9621^2 + 801^2 .

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

It is not an unprimeable number, because it can be changed into a prime (93205247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20023 + ... + 24234.

Almost surely, 293205242 is an apocalyptic number.

93205242 is an abundant number, since it is smaller than the sum of its proper divisors (131713914).

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

93205242 is a wasteful number, since it uses less digits than its factorization.

93205242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44284 (or 44275 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 93205242 is about 9654.2861983681. The cubic root of 93205242 is about 453.3985352920.

The spelling of 93205242 in words is "ninety-three million, two hundred five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 44257 88514 132771 265542 398313 575341 796626 1150682 1194939 1726023 2389878 3452046 3584817 5178069 7169634 10356138 15534207 31068414 46602621 93205242