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42656724 = 223211107719
BaseRepresentation
bin1010001010111…
…0001111010100
32222021012000200
42202232033110
541410003344
64122140500
71025401425
oct242561724
988235020
1042656724
11220956a0
1212351730
138ab6b86
14594564c
153b29069
hex28ae3d4

42656724 has 36 divisors (see below), whose sum is σ = 117630240. Its totient is φ = 12926160.

The previous prime is 42656711. The next prime is 42656749. The reversal of 42656724 is 42765624.

42656724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×426567242 = 3639192204824352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 53464 + ... + 54255.

Almost surely, 242656724 is an apocalyptic number.

42656724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42656724 is an abundant number, since it is smaller than the sum of its proper divisors (74973516).

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

42656724 is a wasteful number, since it uses less digits than its factorization.

42656724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107740 (or 107735 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42656724 is about 6531.2115262025. The cubic root of 42656724 is about 349.4050409128.

Subtracting 42656724 from its reverse (42765624), we obtain a square (108900 = 3302).

The spelling of 42656724 in words is "forty-two million, six hundred fifty-six thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 107719 215438 323157 430876 646314 969471 1184909 1292628 1938942 2369818 3554727 3877884 4739636 7109454 10664181 14218908 21328362 42656724