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669253824 = 263217411667
BaseRepresentation
bin100111111001000…
…000000011000000
31201122022121122200
4213321000003000
52332312110244
6150224233200
722404364221
oct4771000300
91648277580
10669253824
1131385a338
1216816b800
13a88658a5
1464c53248
153db4c669
hex27e400c0

669253824 has 168 divisors, whose sum is σ = 2081924208. Its totient is φ = 204718080.

The previous prime is 669253811. The next prime is 669253831. The reversal of 669253824 is 428352966.

669253824 is a `hidden beast` number, since 6 + 6 + 92 + 538 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 669253824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400639 + ... + 402305.

It is an arithmetic number, because the mean of its divisors is an integer number (12392406).

Almost surely, 2669253824 is an apocalyptic number.

669253824 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 669253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040962104).

669253824 is an abundant number, since it is smaller than the sum of its proper divisors (1412670384).

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

669253824 is a wasteful number, since it uses less digits than its factorization.

669253824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1730 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 669253824 is about 25869.9405488300. The cubic root of 669253824 is about 874.7090511304.

It can be divided in two parts, 6692 and 53824, that added together give a square (60516 = 2462).

The spelling of 669253824 in words is "six hundred sixty-nine million, two hundred fifty-three thousand, eight hundred twenty-four".