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400004264 = 231119239237
BaseRepresentation
bin10111110101111…
…001010010101000
31000212200022200202
4113311321102220
51304400114024
6103405251332
712624660122
oct2765712250
91025608622
10400004264
11195879140
12b1b63b48
1364b4351a
143b1a6212
15251b4bae
hex17d794a8

400004264 has 32 divisors (see below), whose sum is σ = 861256800. Its totient is φ = 172249920.

The previous prime is 400004257. The next prime is 400004291. The reversal of 400004264 is 462400004.

It is a super-2 number, since 2×4000042642 = 320006822436363392, which contains 22 as substring.

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, 117947 + ... + 121290.

It is an arithmetic number, because the mean of its divisors is an integer number (26914275).

Almost surely, 2400004264 is an apocalyptic number.

400004264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400004264 is an abundant number, since it is smaller than the sum of its proper divisors (461252536).

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

400004264 is a wasteful number, since it uses less digits than its factorization.

400004264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239273 (or 239269 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 400004264 is about 20000.1065997159. The cubic root of 400004264 is about 736.8089178372.

Adding to 400004264 its reverse (462400004), we get a palindrome (862404268).

The spelling of 400004264 in words is "four hundred million, four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 239237 478474 956948 1913896 2631607 4545503 5263214 9091006 10526428 18182012 21052856 36364024 50000533 100001066 200002132 400004264