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654521664 = 2638938303
BaseRepresentation
bin100111000000110…
…011010101000000
31200121121010221010
4213000303111000
52320024143124
6144540400520
722135225266
oct4700632500
91617533833
10654521664
113065078a5
12163246140
13a57a8134
1462cda436
153c6dc529
hex27033540

654521664 has 56 divisors (see below), whose sum is σ = 1751258880. Its totient is φ = 215716864.

The previous prime is 654521627. The next prime is 654521683. The reversal of 654521664 is 466125456.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 2064 + ... + 36239.

It is an arithmetic number, because the mean of its divisors is an integer number (31272480).

Almost surely, 2654521664 is an apocalyptic number.

654521664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875629440).

654521664 is an abundant number, since it is smaller than the sum of its proper divisors (1096737216).

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

654521664 is a wasteful number, since it uses less digits than its factorization.

654521664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38407 (or 38397 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 654521664 is about 25583.6210103261. The cubic root of 654521664 is about 868.2431026408.

The spelling of 654521664 in words is "six hundred fifty-four million, five hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 1068 1424 2136 2848 4272 5696 8544 17088 38303 76606 114909 153212 229818 306424 459636 612848 919272 1225696 1838544 2451392 3408967 3677088 6817934 7354176 10226901 13635868 20453802 27271736 40907604 54543472 81815208 109086944 163630416 218173888 327260832 654521664