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242105928 = 23379149857
BaseRepresentation
bin11100110111000…
…11111001001000
3121212120020220020
432123203321020
5443434342203
640005100440
75666603121
oct1633437110
9555506806
10242105928
11114731849
12690b7720
133b20a55c
1424223048
15163c5153
hexe6e3e48

242105928 has 64 divisors (see below), whose sum is σ = 617760000. Its totient is φ = 79053312.

The previous prime is 242105921. The next prime is 242105951. The reversal of 242105928 is 829501242.

It is not an unprimeable number, because it can be changed into a prime (242105921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282076 + ... + 282932.

It is an arithmetic number, because the mean of its divisors is an integer number (9652500).

Almost surely, 2242105928 is an apocalyptic number.

It is an amenable number.

242105928 is an abundant number, since it is smaller than the sum of its proper divisors (375654072).

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

242105928 is a wasteful number, since it uses less digits than its factorization.

242105928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 242105928 is about 15559.7534684840. The cubic root of 242105928 is about 623.2588793288.

The spelling of 242105928 in words is "two hundred forty-two million, one hundred five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 79 149 158 237 298 316 447 474 596 632 857 894 948 1192 1714 1788 1896 2571 3428 3576 5142 6856 10284 11771 20568 23542 35313 47084 67703 70626 94168 127693 135406 141252 203109 255386 270812 282504 383079 406218 510772 541624 766158 812436 1021544 1532316 1624872 3064632 10087747 20175494 30263241 40350988 60526482 80701976 121052964 242105928