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42476640 = 253588493
BaseRepresentation
bin1010001000001…
…0010001100000
32221221000222220
42202002101200
541333223030
64114231040
71024021413
oct242022140
987830886
1042476640
1121a82368
1212285480
138a52c0b
1458d9b7a
153ae0a10
hex2882460

42476640 has 48 divisors (see below), whose sum is σ = 133802928. Its totient is φ = 11326976.

The previous prime is 42476633. The next prime is 42476657. The reversal of 42476640 is 4667424.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43767 + ... + 44726.

It is an arithmetic number, because the mean of its divisors is an integer number (2787561).

Almost surely, 242476640 is an apocalyptic number.

42476640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42476640 is an abundant number, since it is smaller than the sum of its proper divisors (91326288).

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

42476640 is a wasteful number, since it uses less digits than its factorization.

42476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88511 (or 88503 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 42476640 is about 6517.4105287299. The cubic root of 42476640 is about 348.9126526397.

The spelling of 42476640 in words is "forty-two million, four hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 88493 176986 265479 353972 442465 530958 707944 884930 1061916 1327395 1415888 1769860 2123832 2654790 2831776 3539720 4247664 5309580 7079440 8495328 10619160 14158880 21238320 42476640