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1422046624 = 25416771601
BaseRepresentation
bin101010011000010…
…1011010110100000
310200002211110020111
41110300223112200
510403020442444
6353035221104
750145124345
oct12460532640
93602743214
101422046624
1166a787749
123382a7794
131987ca60b
14d6c107cc
1584c9c234
hex54c2b5a0

1422046624 has 48 divisors (see below), whose sum is σ = 2873968776. Its totient is φ = 692224000.

The previous prime is 1422046609. The next prime is 1422046649. The reversal of 1422046624 is 4266402241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1418878224 + 3168400 = 37668^2 + 1780^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 887424 + ... + 889024.

Almost surely, 21422046624 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 1422046624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436984388).

1422046624 is an abundant number, since it is smaller than the sum of its proper divisors (1451922152).

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

1422046624 is a wasteful number, since it uses less digits than its factorization.

1422046624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 1422046624 is about 37710.0334659093. The cubic root of 1422046624 is about 1124.5306022651.

Adding to 1422046624 its reverse (4266402241), we get a palindrome (5688448865).

The spelling of 1422046624 in words is "one billion, four hundred twenty-two million, forty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 677 1312 1354 1601 2708 3202 5416 6404 10832 12808 21664 25616 27757 51232 55514 65641 111028 131282 222056 262564 444112 525128 888224 1050256 1083877 2100512 2167754 4335508 8671016 17342032 34684064 44438957 88877914 177755828 355511656 711023312 1422046624