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242075928 = 23394710651
BaseRepresentation
bin11100110110111…
…00100100011000
3121212111201202010
432123130210120
5443432412203
640004305520
75666416503
oct1633344430
9555451663
10242075928
11114711256
12690a22a0
133b1c99c3
142421613a
15163bb303
hexe6dc918

242075928 has 32 divisors (see below), whose sum is σ = 605885760. Its totient is φ = 80599200.

The previous prime is 242075917. The next prime is 242075969. The reversal of 242075928 is 829570242.

242075928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2420759282 = 117201509834122368, which contains 22 as substring.

It is a congruent number.

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, 17403 + ... + 28053.

It is an arithmetic number, because the mean of its divisors is an integer number (18933930).

Almost surely, 2242075928 is an apocalyptic number.

It is an amenable number.

242075928 is an abundant number, since it is smaller than the sum of its proper divisors (363809832).

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

242075928 is a wasteful number, since it uses less digits than its factorization.

242075928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11607 (or 11603 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 242075928 is about 15558.7894130617. The cubic root of 242075928 is about 623.2331350346.

It can be divided in two parts, 24207 and 5928, that added together give a triangular number (30135 = T245).

The spelling of 242075928 in words is "two hundred forty-two million, seventy-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 947 1894 2841 3788 5682 7576 10651 11364 21302 22728 31953 42604 63906 85208 127812 255624 10086497 20172994 30259491 40345988 60518982 80691976 121037964 242075928