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422798976 = 27321721589
BaseRepresentation
bin11001001100110…
…110011010000000
31002110120102011100
4121030312122000
51331214031401
6105542014400
713322506035
oct3114663200
91073512140
10422798976
111a7728146
12b9717400
1369794a12
144021b38c
15271b8b86
hex19336680

422798976 has 96 divisors (see below), whose sum is σ = 1288275300. Its totient is φ = 132636672.

The previous prime is 422798969. The next prime is 422798983. The reversal of 422798976 is 679897224.

422798976 is a `hidden beast` number, since 422 + 79 + 89 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (422798969) and next prime (422798983).

It can be written as a sum of positive squares in 2 ways, for example, as 415181376 + 7617600 = 20376^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4227989763 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8790 + ... + 30378.

Almost surely, 2422798976 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 422798976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644137650).

422798976 is an abundant number, since it is smaller than the sum of its proper divisors (865476324).

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

422798976 is a wasteful number, since it uses less digits than its factorization.

422798976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21626 (or 21611 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 422798976 is about 20562.0761597656. The cubic root of 422798976 is about 750.5471420837.

The spelling of 422798976 in words is "four hundred twenty-two million, seven hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 21589 43178 64767 86356 129534 172712 194301 259068 345424 367013 388602 518136 690848 734026 777204 1036272 1101039 1381696 1468052 1554408 2072544 2202078 2763392 2936104 3108816 3303117 4145088 4404156 5872208 6217632 6606234 8290176 8808312 11744416 12435264 13212468 17616624 23488832 24870528 26424936 35233248 46977664 52849872 70466496 105699744 140932992 211399488 422798976