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422369792 = 2913233189
BaseRepresentation
bin11001001011001…
…101101000000000
31002102202121102122
4121023031220000
51331111313132
6105524503412
713316040545
oct3113155000
91072677378
10422369792
111a7464749
12b954ab68
1369674570
1440148bcc
1527131912
hex192cda00

422369792 has 160 divisors (see below), whose sum is σ = 989936640. Its totient is φ = 178421760.

The previous prime is 422369749. The next prime is 422369797. The reversal of 422369792 is 297963224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422369797) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4745684 + ... + 4745772.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2422369792 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 422369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

422369792 is an abundant number, since it is smaller than the sum of its proper divisors (567566848).

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

422369792 is a wasteful number, since it uses less digits than its factorization.

422369792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its digits is 326592, while the sum is 44.

The square root of 422369792 is about 20551.6372097213. The cubic root of 422369792 is about 750.2930955192.

The spelling of 422369792 in words is "four hundred twenty-two million, three hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 23 26 31 32 46 52 62 64 89 92 104 124 128 178 184 208 248 256 299 356 368 403 416 496 512 598 712 713 736 806 832 992 1157 1196 1424 1426 1472 1612 1664 1984 2047 2314 2392 2759 2848 2852 2944 3224 3328 3968 4094 4628 4784 5518 5696 5704 5888 6448 6656 7936 8188 9256 9269 9568 11036 11392 11408 11776 12896 15872 16376 18512 18538 19136 22072 22784 22816 25792 26611 32752 35867 37024 37076 38272 44144 45568 45632 51584 53222 63457 65504 71734 74048 74152 76544 88288 91264 103168 106444 126914 131008 143468 148096 148304 153088 176576 182528 206336 212888 253828 262016 286936 296192 296608 353152 365056 425776 507656 524032 573872 592384 593216 706304 824941 851552 1015312 1048064 1147744 1186432 1412608 1649882 1703104 2030624 2295488 2372864 3299764 3406208 4061248 4590976 4745728 6599528 6812416 8122496 9181952 13199056 13624832 16244992 18363904 26398112 32489984 52796224 105592448 211184896 422369792