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42075630 = 2325467507
BaseRepresentation
bin1010000010000…
…0010111101110
32221011122220200
42200200113232
541232410010
64101454330
71020431322
oct240402756
987148820
1042075630
1121829053
12121113a6
13894252c
145833982
153a61cc0
hex28205ee

42075630 has 24 divisors (see below), whose sum is σ = 109396872. Its totient is φ = 11220144.

The previous prime is 42075619. The next prime is 42075643. The reversal of 42075630 is 3657024.

It is a happy number.

42075630 is a `hidden beast` number, since 4 + 20 + 7 + 5 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42075594 and 42075603.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 233664 + ... + 233843.

It is an arithmetic number, because the mean of its divisors is an integer number (4558203).

Almost surely, 242075630 is an apocalyptic number.

42075630 is an abundant number, since it is smaller than the sum of its proper divisors (67321242).

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

42075630 is a wasteful number, since it uses less digits than its factorization.

42075630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467520 (or 467517 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 42075630 is about 6486.5730551656. The cubic root of 42075630 is about 347.8111837387.

The spelling of 42075630 in words is "forty-two million, seventy-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 467507 935014 1402521 2337535 2805042 4207563 4675070 7012605 8415126 14025210 21037815 42075630