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42465408 = 273110587
BaseRepresentation
bin1010000111111…
…1100010000000
32221220110120220
42201333202000
541332343113
64114103040
71023643566
oct241774200
987813526
1042465408
1121a74987
121227aa80
138a4aa7b
1458d5a36
153adc523
hex287f880

42465408 has 32 divisors (see below), whose sum is σ = 112799760. Its totient is φ = 14155008.

The previous prime is 42465407. The next prime is 42465413. The reversal of 42465408 is 80456424.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (42465407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54910 + ... + 55677.

Almost surely, 242465408 is an apocalyptic number.

42465408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42465408 is an abundant number, since it is smaller than the sum of its proper divisors (70334352).

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

42465408 is a wasteful number, since it uses less digits than its factorization.

42465408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110604 (or 110592 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 42465408 is about 6516.5487798374. The cubic root of 42465408 is about 348.8818958724.

The spelling of 42465408 in words is "forty-two million, four hundred sixty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 110587 221174 331761 442348 663522 884696 1327044 1769392 2654088 3538784 5308176 7077568 10616352 14155136 21232704 42465408