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492054976 = 2677913903
BaseRepresentation
bin11101010101000…
…010100111000000
31021021212222112101
4131111002213000
52001431224401
6120454240144
715123253420
oct3525024700
91237788471
10492054976
11232830206
12118956054
137ac329ba
14494c8480
152d2e9101
hex1d5429c0

492054976 has 56 divisors (see below), whose sum is σ = 1130117120. Its totient is φ = 208196352.

The previous prime is 492054973. The next prime is 492054991. The reversal of 492054976 is 679450294.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492054973) 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, 28441 + ... + 42343.

Almost surely, 2492054976 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 492054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565058560).

492054976 is an abundant number, since it is smaller than the sum of its proper divisors (638062144).

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

492054976 is a wasteful number, since it uses less digits than its factorization.

492054976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14001 (or 13991 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The square root of 492054976 is about 22182.3122329481. The cubic root of 492054976 is about 789.4740803416.

The spelling of 492054976 in words is "four hundred ninety-two million, fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1264 2212 2528 4424 5056 8848 13903 17696 27806 35392 55612 97321 111224 194642 222448 389284 444896 778568 889792 1098337 1557136 2196674 3114272 4393348 6228544 7688359 8786696 15376718 17573392 30753436 35146784 61506872 70293568 123013744 246027488 492054976