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422964432 = 2432112571039
BaseRepresentation
bin11001001101011…
…110110011010000
31002110212211010100
4121031132303100
51331234330212
6105545332400
713324065312
oct3115366320
91073784110
10422964432
111a7830490
12b9797100
1369822117
14402617b2
15271ecbdc
hex1935ecd0

422964432 has 120 divisors (see below), whose sum is σ = 1297595520. Its totient is φ = 127549440.

The previous prime is 422964419. The next prime is 422964461. The reversal of 422964432 is 234469224.

422964432 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 644 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 406569 + ... + 407607.

It is an arithmetic number, because the mean of its divisors is an integer number (10813296).

Almost surely, 2422964432 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 422964432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648797760).

422964432 is an abundant number, since it is smaller than the sum of its proper divisors (874631088).

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

422964432 is a wasteful number, since it uses less digits than its factorization.

422964432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1312 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 422964432 is about 20566.0990953559. The cubic root of 422964432 is about 750.6450344151.

The spelling of 422964432 in words is "four hundred twenty-two million, nine hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 257 264 396 514 528 771 792 1028 1039 1542 1584 2056 2078 2313 2827 3084 3117 4112 4156 4626 5654 6168 6234 8312 8481 9252 9351 11308 11429 12336 12468 16624 16962 18504 18702 22616 22858 24936 25443 33924 34287 37008 37404 45232 45716 49872 50886 67848 68574 74808 91432 101772 102861 135696 137148 149616 182864 203544 205722 267023 274296 407088 411444 534046 548592 801069 822888 1068092 1602138 1645776 2136184 2403207 2937253 3204276 4272368 4806414 5874506 6408552 8811759 9612828 11749012 12817104 17623518 19225656 23498024 26435277 35247036 38451312 46996048 52870554 70494072 105741108 140988144 211482216 422964432