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365257242 = 23379832
BaseRepresentation
bin10101110001010…
…110001000011010
3221110021222202000
4111301112020122
51222001212432
6100124421430
712023430630
oct2561261032
9843258660
10365257242
111781a6199
12a23a7876
135a89895c
143671d350
15220ee57c
hex15c5621a

365257242 has 48 divisors (see below), whose sum is σ = 928582080. Its totient is φ = 104253048.

The previous prime is 365257201. The next prime is 365257253. The reversal of 365257242 is 242752563.

365257242 is a `hidden beast` number, since 36 + 52 + 572 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 365257197 and 365257206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371083 + ... + 372065.

It is an arithmetic number, because the mean of its divisors is an integer number (19345460).

Almost surely, 2365257242 is an apocalyptic number.

365257242 is an abundant number, since it is smaller than the sum of its proper divisors (563324838).

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

365257242 is an frugal number, since it uses more digits than its factorization.

365257242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 995 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 365257242 is about 19111.7043196048. The cubic root of 365257242 is about 714.8248006683.

The spelling of 365257242 in words is "three hundred sixty-five million, two hundred fifty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 983 1966 2949 5898 6881 8847 13762 17694 20643 26541 41286 53082 61929 123858 185787 371574 966289 1932578 2898867 5797734 6764023 8696601 13528046 17393202 20292069 26089803 40584138 52179606 60876207 121752414 182628621 365257242