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427221664 = 25312411787
BaseRepresentation
bin11001011101101…
…110001010100000
31002202220002221121
4121131232022200
51333332043124
6110220502024
713405216132
oct3135561240
91082802847
10427221664
111aa178a61
12bb0aa914
136a682aac
1440a4d052
152778e2e4
hex1976e2a0

427221664 has 48 divisors (see below), whose sum is σ = 872315136. Its totient is φ = 205747200.

The previous prime is 427221661. The next prime is 427221673. The reversal of 427221664 is 466122724.

It is not an unprimeable number, because it can be changed into a prime (427221661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238179 + ... + 239965.

It is an arithmetic number, because the mean of its divisors is an integer number (18173232).

Almost surely, 2427221664 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 427221664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436157568).

427221664 is an abundant number, since it is smaller than the sum of its proper divisors (445093472).

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

427221664 is a wasteful number, since it uses less digits than its factorization.

427221664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2061 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 427221664 is about 20669.3411602789. The cubic root of 427221664 is about 753.1551019780.

The spelling of 427221664 in words is "four hundred twenty-seven million, two hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 124 241 248 482 496 964 992 1787 1928 3574 3856 7148 7471 7712 14296 14942 28592 29884 55397 57184 59768 110794 119536 221588 239072 430667 443176 861334 886352 1722668 1772704 3445336 6890672 13350677 13781344 26701354 53402708 106805416 213610832 427221664