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42422328 = 23321361743
BaseRepresentation
bin1010000111010…
…1000000111000
32221211021111100
42201311000320
541330003303
64113131400
71023404154
oct241650070
987737440
1042422328
1121a45583
1212259b60
138a34290
1458c4064
153ace8a3
hex2875038

42422328 has 96 divisors (see below), whose sum is σ = 125929440. Its totient is φ = 12821760.

The previous prime is 42422311. The next prime is 42422339. The reversal of 42422328 is 82322424.

42422328 is a `hidden beast` number, since 424 + 2 + 232 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56725 + ... + 57467.

It is an arithmetic number, because the mean of its divisors is an integer number (1311765).

Almost surely, 242422328 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 42422328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62964720).

42422328 is an abundant number, since it is smaller than the sum of its proper divisors (83507112).

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

42422328 is a wasteful number, since it uses less digits than its factorization.

42422328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 822 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 42422328 is about 6513.2425104551. The cubic root of 42422328 is about 348.7638788942.

The spelling of 42422328 in words is "forty-two million, four hundred twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 743 793 936 1098 1464 1486 1586 2196 2229 2379 2972 3172 4392 4458 4758 5944 6344 6687 7137 8916 9516 9659 13374 14274 17832 19032 19318 26748 28548 28977 38636 45323 53496 57096 57954 77272 86931 90646 115908 135969 173862 181292 231816 271938 347724 362584 407907 543876 589199 695448 815814 1087752 1178398 1631628 1767597 2356796 3263256 3535194 4713592 5302791 7070388 10605582 14140776 21211164 42422328