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422626976 = 25292691693
BaseRepresentation
bin11001001100001…
…100011010100000
31002110020200012222
4121030030122200
51331143030401
6105534210212
713321161422
oct3114143240
91073220188
10422626976
111a761a9a2
12b9653968
1369734645
14401b4812
1527182c1b
hex1930c6a0

422626976 has 48 divisors (see below), whose sum is σ = 864448200. Its totient is φ = 203148288.

The previous prime is 422626957. The next prime is 422626993. The reversal of 422626976 is 679626224.

It can be written as a sum of positive squares in 4 ways, for example, as 245736976 + 176890000 = 15676^2 + 13300^2 .

It is a super-2 number, since 2×4226269762 = 357227121685809152, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 248786 + ... + 250478.

Almost surely, 2422626976 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 422626976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432224100).

422626976 is an abundant number, since it is smaller than the sum of its proper divisors (441821224).

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

422626976 is a wasteful number, since it uses less digits than its factorization.

422626976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1993 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 422626976 is about 20557.8932772792. The cubic root of 422626976 is about 750.4453509052.

The spelling of 422626976 in words is "four hundred twenty-two million, six hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 269 464 538 928 1076 1693 2152 3386 4304 6772 7801 8608 13544 15602 27088 31204 49097 54176 62408 98194 124816 196388 249632 392776 455417 785552 910834 1571104 1821668 3643336 7286672 13207093 14573344 26414186 52828372 105656744 211313488 422626976