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422476032 = 28311431163
BaseRepresentation
bin11001001011100…
…111100100000000
31002102222000011110
4121023213210000
51331123213112
6105531043320
713316662356
oct3113474400
91072860143
10422476032
111a7527550
12b95a0540
13696b0a24
14401757d6
152715313c
hex192e7900

422476032 has 144 divisors (see below), whose sum is σ = 1256226048. Its totient is φ = 124938240.

The previous prime is 422476009. The next prime is 422476037. The reversal of 422476032 is 230674224.

It is a super-2 number, since 2×4224760322 = 356971995228930048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422476037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362683 + ... + 363845.

It is an arithmetic number, because the mean of its divisors is an integer number (8723792).

Almost surely, 2422476032 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 422476032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628113024).

422476032 is an abundant number, since it is smaller than the sum of its proper divisors (833750016).

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

422476032 is a wasteful number, since it uses less digits than its factorization.

422476032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 422476032 is about 20554.2217561259. The cubic root of 422476032 is about 750.3559981048.

The spelling of 422476032 in words is "four hundred twenty-two million, four hundred seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 256 258 264 344 352 384 473 516 528 688 704 768 946 1032 1056 1163 1376 1408 1419 1892 2064 2112 2326 2752 2816 2838 3489 3784 4128 4224 4652 5504 5676 6978 7568 8256 8448 9304 11008 11352 12793 13956 15136 16512 18608 22704 25586 27912 30272 33024 37216 38379 45408 50009 51172 55824 60544 74432 76758 90816 100018 102344 111648 121088 148864 150027 153516 181632 200036 204688 223296 297728 300054 307032 363264 400072 409376 446592 550099 600108 614064 800144 818752 893184 1100198 1200216 1228128 1600288 1637504 1650297 2200396 2400432 2456256 3200576 3275008 3300594 4400792 4800864 4912512 6401152 6601188 8801584 9601728 9825024 12802304 13202376 17603168 19203456 26404752 35206336 38406912 52809504 70412672 105619008 140825344 211238016 422476032