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505427904 = 2633292493
BaseRepresentation
bin11110001000000…
…011011111000000
31022020001101202000
4132020003133000
52013342143104
6122053024000
715345031512
oct3610033700
91266041660
10505427904
1123a334513
12121325000
1380935887
144b1a9bb2
152e58b639
hex1e2037c0

505427904 has 56 divisors (see below), whose sum is σ = 1485869520. Its totient is φ = 168475392.

The previous prime is 505427903. The next prime is 505427933. The reversal of 505427904 is 409724505.

It is a super-2 number, since 2×5054279042 = 510914732283666432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505427903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144519 + ... + 147974.

Almost surely, 2505427904 is an apocalyptic number.

505427904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

505427904 is an abundant number, since it is smaller than the sum of its proper divisors (980441616).

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

505427904 is a wasteful number, since it uses less digits than its factorization.

505427904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292514 (or 292498 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 505427904 is about 22481.7237773263. The cubic root of 505427904 is about 796.5622821127.

The spelling of 505427904 in words is "five hundred five million, four hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 292493 584986 877479 1169972 1754958 2339944 2632437 3509916 4679888 5264874 7019832 7897311 9359776 10529748 14039664 15794622 18719552 21059496 28079328 31589244 42118992 56158656 63178488 84237984 126356976 168475968 252713952 505427904