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42929224 = 231323131137
BaseRepresentation
bin1010001111000…
…0110001001000
32222210000211021
42203300301020
541442213344
64132042224
71030615042
oct243606110
988700737
1042929224
11222613a8
1212463374
138b80c10
1459b6a92
153b7eb84
hex28f0c48

42929224 has 64 divisors (see below), whose sum is σ = 91808640. Its totient is φ = 18670080.

The previous prime is 42929221. The next prime is 42929273. The reversal of 42929224 is 42292924.

It is a self number, because there is not a number n which added to its sum of digits gives 42929224.

It is not an unprimeable number, because it can be changed into a prime (42929221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313284 + ... + 313420.

It is an arithmetic number, because the mean of its divisors is an integer number (1434510).

Almost surely, 242929224 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 42929224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45904320).

42929224 is an abundant number, since it is smaller than the sum of its proper divisors (48879416).

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

42929224 is a wasteful number, since it uses less digits than its factorization.

42929224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 42929224 is about 6552.0396824195. The cubic root of 42929224 is about 350.1474861416.

The spelling of 42929224 in words is "forty-two million, nine hundred twenty-nine thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 131 137 184 262 274 299 524 548 598 1048 1096 1196 1703 1781 2392 3013 3151 3406 3562 6026 6302 6812 7124 12052 12604 13624 14248 17947 24104 25208 35894 39169 40963 71788 78338 81926 143576 156676 163852 233311 313352 327704 412781 466622 825562 933244 1651124 1866488 3302248 5366153 10732306 21464612 42929224