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422521632 = 25321328681
BaseRepresentation
bin11001001011110…
…010101100100000
31002110001022201100
4121023302230200
51331131143012
6105532034400
713320242331
oct3113625440
91073038640
10422521632
111a7558835
12b9602a00
13696c8700
1440188288
15271618dc
hex192f2b20

422521632 has 108 divisors (see below), whose sum is σ = 1301232114. Its totient is φ = 129991680.

The previous prime is 422521613. The next prime is 422521633. The reversal of 422521632 is 236125224.

It is a happy number.

422521632 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 21 + 632 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 285069456 + 137452176 = 16884^2 + 11724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 422521596 and 422521605.

It is not an unprimeable number, because it can be changed into a prime (422521633) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 44332 + ... + 53012.

Almost surely, 2422521632 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 422521632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650616057).

422521632 is an abundant number, since it is smaller than the sum of its proper divisors (878710482).

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

422521632 is a wasteful number, since it uses less digits than its factorization.

422521632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723 (or 8699 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 422521632 is about 20555.3309873619. The cubic root of 422521632 is about 750.3829937211.

Adding to 422521632 its reverse (236125224), we get a palindrome (658646856).

The spelling of 422521632 in words is "four hundred twenty-two million, five hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 8681 12168 16224 17362 24336 26043 34724 48672 52086 69448 78129 104172 112853 138896 156258 208344 225706 277792 312516 338559 416688 451412 625032 677118 833376 902824 1015677 1250064 1354236 1467089 1805648 2031354 2500128 2708472 2934178 3611296 4062708 4401267 5416944 5868356 8125416 8802534 10833888 11736712 13203801 16250832 17605068 23473424 26407602 32501664 35210136 46946848 52815204 70420272 105630408 140840544 211260816 422521632