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42929824 = 257434457
BaseRepresentation
bin1010001111000…
…0111010100000
32222210001122111
42203300322200
541442223244
64132045104
71030616560
oct243607240
988701574
1042929824
11222618a3
1212463794
138b81282
1459b6da0
153b7ee34
hex28f0ea0

42929824 has 48 divisors (see below), whose sum is σ = 98860608. Its totient is φ = 17966592.

The previous prime is 42929813. The next prime is 42929839. The reversal of 42929824 is 42892924.

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 7 ways as a sum of consecutive naturals, for example, 7404 + ... + 11860.

It is an arithmetic number, because the mean of its divisors is an integer number (2059596).

Almost surely, 242929824 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 42929824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49430304).

42929824 is an abundant number, since it is smaller than the sum of its proper divisors (55930784).

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

42929824 is a wasteful number, since it uses less digits than its factorization.

42929824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4509 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 42929824 is about 6552.0854695280. The cubic root of 42929824 is about 350.1491174119.

The spelling of 42929824 in words is "forty-two million, nine hundred twenty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4457 4816 8914 9632 17828 31199 35656 62398 71312 124796 142624 191651 249592 383302 499184 766604 998368 1341557 1533208 2683114 3066416 5366228 6132832 10732456 21464912 42929824