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422576128 = 2201331
BaseRepresentation
bin11001001100000…
…000000000000000
31002110011002110201
4121030000000000
51331134414003
6105533134544
713320560242
oct3114000000
91073132421
10422576128
111a7595777
12b962a454
1369717460
14401a0092
1527172b1d
hex19300000

422576128 has 84 divisors (see below), whose sum is σ = 939523648. Its totient is φ = 188743680.

The previous prime is 422576087. The next prime is 422576137. The reversal of 422576128 is 821675224.

It is a happy number.

It is a super-3 number, since 3×4225761283 (a number of 27 digits) contains 333 as substring.

Its product of digits (53760) is a multiple of the sum of its prime factors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13631473 + ... + 13631503.

Almost surely, 2422576128 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 422576128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469761824).

422576128 is an abundant number, since it is smaller than the sum of its proper divisors (516947520).

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

422576128 is an frugal number, since it uses more digits than its factorization.

422576128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 422576128 is about 20556.6565374820. The cubic root of 422576128 is about 750.4152533031.

The spelling of 422576128 in words is "four hundred twenty-two million, five hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1024 1612 1664 1984 2048 3224 3328 3968 4096 6448 6656 7936 8192 12896 13312 15872 16384 25792 26624 31744 32768 51584 53248 63488 65536 103168 106496 126976 131072 206336 212992 253952 262144 412672 425984 507904 524288 825344 851968 1015808 1048576 1650688 1703936 2031616 3301376 3407872 4063232 6602752 6815744 8126464 13205504 13631488 16252928 26411008 32505856 52822016 105644032 211288064 422576128