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427621968 = 24322969597
BaseRepresentation
bin11001011111001…
…111111001010000
31002210122110001200
4121133033321100
51333432400333
6110233231200
713411504164
oct3137177120
91083573050
10427621968
111aa421794
12bb262500
136a793067
1440b14ca4
152781cc13
hex197cfe50

427621968 has 30 divisors (see below), whose sum is σ = 1196747994. Its totient is φ = 142540608.

The previous prime is 427621897. The next prime is 427621973. The reversal of 427621968 is 869126724.

It is a happy number.

427621968 is a `hidden beast` number, since 427 + 6 + 219 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 216442944 + 211179024 = 14712^2 + 14532^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1484655 + ... + 1484942.

Almost surely, 2427621968 is an apocalyptic number.

427621968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

427621968 is an abundant number, since it is smaller than the sum of its proper divisors (769126026).

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

427621968 is a wasteful number, since it uses less digits than its factorization.

427621968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969611 (or 2969602 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 427621968 is about 20679.0224140311. The cubic root of 427621968 is about 753.3902624027.

It can be divided in two parts, 4276 and 21968, that added together give a square (26244 = 1622).

The spelling of 427621968 in words is "four hundred twenty-seven million, six hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2969597 5939194 8908791 11878388 17817582 23756776 26726373 35635164 47513552 53452746 71270328 106905492 142540656 213810984 427621968