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42072816 = 2432413637
BaseRepresentation
bin1010000001111…
…1101011110000
32221011112001110
42200133223300
541232312231
64101433320
71020420162
oct240375360
987145043
1042072816
1121826a25
121210b840
138941176
145832932
153a61046
hex281faf0

42072816 has 40 divisors (see below), whose sum is σ = 109169104. Its totient is φ = 13962240.

The previous prime is 42072809. The next prime is 42072817. The reversal of 42072816 is 61827024.

42072816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42072817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9750 + ... + 13386.

Almost surely, 242072816 is an apocalyptic number.

It is an amenable number.

42072816 is an abundant number, since it is smaller than the sum of its proper divisors (67096288).

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

42072816 is a wasteful number, since it uses less digits than its factorization.

42072816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 42072816 is about 6486.3561419336. The cubic root of 42072816 is about 347.8034297452.

The spelling of 42072816 in words is "forty-two million, seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 241 482 723 964 1446 1928 2892 3637 3856 5784 7274 10911 11568 14548 21822 29096 43644 58192 87288 174576 876517 1753034 2629551 3506068 5259102 7012136 10518204 14024272 21036408 42072816