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666295552 = 28131711777
BaseRepresentation
bin100111101101101…
…101110100000000
31201102202022200001
4213231231310000
52331032424202
6150041005344
722340263426
oct4755556400
91642668601
10666295552
1131211978a
12167183854
13a806b230
14646c3116
153d765d87
hex27b6dd00

666295552 has 72 divisors (see below), whose sum is σ = 1516676616. Its totient is φ = 289406976.

The previous prime is 666295541. The next prime is 666295577. The reversal of 666295552 is 255592666.

666295552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 125081856 + 541213696 = 11184^2 + 23264^2 .

It is a super-2 number, since 2×6662955522 = 887899525229969408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50688 + ... + 62464.

It is an arithmetic number, because the mean of its divisors is an integer number (21064953).

Almost surely, 2666295552 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 666295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758338308).

666295552 is an abundant number, since it is smaller than the sum of its proper divisors (850381064).

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

666295552 is a wasteful number, since it uses less digits than its factorization.

666295552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11823 (or 11809 counting only the distinct ones).

The product of its digits is 972000, while the sum is 46.

The square root of 666295552 is about 25812.7013696746. The cubic root of 666295552 is about 873.4183353868.

The spelling of 666295552 in words is "six hundred sixty-six million, two hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 544 832 884 1088 1664 1768 2176 3328 3536 4352 7072 11777 14144 23554 28288 47108 56576 94216 153101 188432 200209 306202 376864 400418 612404 753728 800836 1224808 1507456 1601672 2449616 2602717 3014912 3203344 4899232 5205434 6406688 9798464 10410868 12813376 19596928 20821736 25626752 39193856 41643472 51253504 83286944 166573888 333147776 666295552