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42929592 = 2332383937
BaseRepresentation
bin1010001111000…
…0110110111000
32222210001022220
42203300312320
541442221332
64132044040
71030616106
oct243606670
988701286
1042929592
1122261702
1212463620
138b81134
1459b6c76
153b7ed2c
hex28f0db8

42929592 has 64 divisors (see below), whose sum is σ = 113460480. Its totient is φ = 13508352.

The previous prime is 42929567. The next prime is 42929669. The reversal of 42929592 is 29592924.

42929592 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 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 15 ways as a sum of consecutive naturals, for example, 45348 + ... + 46284.

It is an arithmetic number, because the mean of its divisors is an integer number (1772820).

Almost surely, 242929592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42929592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56730240).

42929592 is an abundant number, since it is smaller than the sum of its proper divisors (70530888).

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

42929592 is a wasteful number, since it uses less digits than its factorization.

42929592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 42929592 is about 6552.0677652173. The cubic root of 42929592 is about 350.1484866558.

The spelling of 42929592 in words is "forty-two million, nine hundred twenty-nine thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 83 92 138 166 184 249 276 332 498 552 664 937 996 1874 1909 1992 2811 3748 3818 5622 5727 7496 7636 11244 11454 15272 21551 22488 22908 43102 45816 64653 77771 86204 129306 155542 172408 233313 258612 311084 466626 517224 622168 933252 1788733 1866504 3577466 5366199 7154932 10732398 14309864 21464796 42929592