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42264624 = 243880513
BaseRepresentation
bin1010000100111…
…0100000110000
32221112021011110
42201032200300
541304431444
64105513320
71022146323
oct241164060
987467143
1042264624
1121948046
12121a2840
1389aa56c
1458827ba
153a9ccb9
hex284e830

42264624 has 20 divisors (see below), whose sum is σ = 109183736. Its totient is φ = 14088192.

The previous prime is 42264623. The next prime is 42264631. The reversal of 42264624 is 42646224.

It is a super-2 number, since 2×422646242 = 3572596883722752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42264591 and 42264600.

It is not an unprimeable number, because it can be changed into a prime (42264623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 440209 + ... + 440304.

Almost surely, 242264624 is an apocalyptic number.

It is an amenable number.

42264624 is an abundant number, since it is smaller than the sum of its proper divisors (66919112).

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

42264624 is a wasteful number, since it uses less digits than its factorization.

42264624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880524 (or 880518 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 42264624 is about 6501.1248257513. The cubic root of 42264624 is about 348.3311684325.

The spelling of 42264624 in words is "forty-two million, two hundred sixty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 880513 1761026 2641539 3522052 5283078 7044104 10566156 14088208 21132312 42264624