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42402384 = 2432294461
BaseRepresentation
bin1010000111000…
…0001001010000
32221210021010200
42201300021100
541323334014
64112455200
71023262053
oct241601120
987707120
1042402384
1121a315a2
121224a500
138a2818b
1458baa9a
153ac8a09
hex2870250

42402384 has 30 divisors (see below), whose sum is σ = 118668186. Its totient is φ = 14134080.

The previous prime is 42402377. The next prime is 42402419. The reversal of 42402384 is 48320424.

It is a happy number.

42402384 is a `hidden beast` number, since 424 + 0 + 238 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26625600 + 15776784 = 5160^2 + 3972^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147087 + ... + 147374.

Almost surely, 242402384 is an apocalyptic number.

It is an amenable number.

42402384 is an abundant number, since it is smaller than the sum of its proper divisors (76265802).

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

42402384 is a wasteful number, since it uses less digits than its factorization.

42402384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294475 (or 294466 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42402384 is about 6511.7112958116. The cubic root of 42402384 is about 348.7092155644.

The spelling of 42402384 in words is "forty-two million, four hundred two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 294461 588922 883383 1177844 1766766 2355688 2650149 3533532 4711376 5300298 7067064 10600596 14134128 21201192 42402384