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492056640 = 2633556951
BaseRepresentation
bin11101010101000…
…011000001000000
31021021220001211000
4131111003001000
52001431303030
6120454252000
715123261315
oct3525030100
91237801730
10492056640
11232831489
12118957000
137ac3369a
14494c8d0c
152d2e9860
hex1d543040

492056640 has 112 divisors (see below), whose sum is σ = 1735896960. Its totient is φ = 131212800.

The previous prime is 492056639. The next prime is 492056657. The reversal of 492056640 is 46650294.

492056640 is a `hidden beast` number, since 4 + 9 + 2 + 0 + 5 + 6 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 492056595 and 492056604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19836 + ... + 37115.

It is an arithmetic number, because the mean of its divisors is an integer number (15499080).

Almost surely, 2492056640 is an apocalyptic number.

492056640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492056640 is an abundant number, since it is smaller than the sum of its proper divisors (1243840320).

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

492056640 is a wasteful number, since it uses less digits than its factorization.

492056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56977 (or 56961 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 492056640 is about 22182.3497402777. The cubic root of 492056640 is about 789.4749702716.

The spelling of 492056640 in words is "four hundred ninety-two million, fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 56951 113902 170853 227804 284755 341706 455608 512559 569510 683412 854265 911216 1025118 1139020 1366824 1537677 1708530 1822432 2050236 2278040 2562795 2733648 3075354 3417060 3644864 4100472 4556080 5125590 5467296 6150708 6834120 7688385 8200944 9112160 10251180 10934592 12301416 13668240 15376770 16401888 18224320 20502360 24602832 27336480 30753540 32803776 41004720 49205664 54672960 61507080 82009440 98411328 123014160 164018880 246028320 492056640