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242507792 = 24193125733
BaseRepresentation
bin11100111010001…
…10000000010000
3121220022200011002
432131012000100
5444040222132
640021441132
76003165542
oct1635060020
9556280132
10242507792
1111498676a
12692701a8
133b31b447
14242c9692
1516454262
hexe746010

242507792 has 40 divisors (see below), whose sum is σ = 510562560. Its totient is φ = 111162240.

The previous prime is 242507789. The next prime is 242507819. The reversal of 242507792 is 297705242.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3443 + ... + 22290.

It is an arithmetic number, because the mean of its divisors is an integer number (12764064).

Almost surely, 2242507792 is an apocalyptic number.

It is an amenable number.

242507792 is an abundant number, since it is smaller than the sum of its proper divisors (268054768).

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

242507792 is a wasteful number, since it uses less digits than its factorization.

242507792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25791 (or 25785 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 242507792 is about 15572.6616864298. The cubic root of 242507792 is about 623.6035312975.

The spelling of 242507792 in words is "two hundred forty-two million, five hundred seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 4712 9424 25733 51466 102932 205864 411728 488927 797723 977854 1595446 1955708 3190892 3911416 6381784 7822832 12763568 15156737 30313474 60626948 121253896 242507792