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422552032 = 2577325841
BaseRepresentation
bin11001001011111…
…010000111100000
31002110002212102021
4121023322013200
51331133131112
6105532431224
713320430060
oct3113720740
91073085367
10422552032
111a7579661
12b9618514
13697094b6
14401953a0
152716a907
hex192fa1e0

422552032 has 48 divisors (see below), whose sum is σ = 963803232. Its totient is φ = 178606080.

The previous prime is 422551999. The next prime is 422552033. The reversal of 422552032 is 230255224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 422551988 and 422552006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422552033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3432 + ... + 29272.

It is an arithmetic number, because the mean of its divisors is an integer number (20079234).

Almost surely, 2422552032 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 422552032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481901616).

422552032 is an abundant number, since it is smaller than the sum of its proper divisors (541251200).

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

422552032 is a wasteful number, since it uses less digits than its factorization.

422552032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25931 (or 25923 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 422552032 is about 20556.0704415995. The cubic root of 422552032 is about 750.4009897196.

The spelling of 422552032 in words is "four hundred twenty-two million, five hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 8176 16352 25841 51682 103364 180887 206728 361774 413456 723548 826912 1447096 1886393 2894192 3772786 5788384 7545572 13204751 15091144 26409502 30182288 52819004 60364576 105638008 211276016 422552032