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492559104 = 2835312101
BaseRepresentation
bin11101010110111…
…101101100000000
31021022211121001210
4131112331230000
52002043342404
6120513130120
715130453242
oct3526755400
91238747053
10492559104
11233044a44
12118b59940
137b07b2bb
14495ba092
152d398689
hex1d5bdb00

492559104 has 72 divisors (see below), whose sum is σ = 1335770352. Its totient is φ = 161075200.

The previous prime is 492559087. The next prime is 492559147. The reversal of 492559104 is 401955294.

It is a super-2 number, since 2×4925591042 = 485228941866565632, 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, 34654 + ... + 46754.

It is an arithmetic number, because the mean of its divisors is an integer number (18552366).

Almost surely, 2492559104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667885176).

492559104 is an abundant number, since it is smaller than the sum of its proper divisors (843211248).

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

492559104 is a wasteful number, since it uses less digits than its factorization.

492559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 492559104 is about 22193.6726118054. The cubic root of 492559104 is about 789.7436031697.

The spelling of 492559104 in words is "four hundred ninety-two million, five hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 3392 5088 6784 10176 12101 13568 20352 24202 36303 40704 48404 72606 96808 145212 193616 290424 387232 580848 641353 774464 1161696 1282706 1548928 1924059 2323392 2565412 3097856 3848118 4646784 5130824 7696236 9293568 10261648 15392472 20523296 30784944 41046592 61569888 82093184 123139776 164186368 246279552 492559104