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669560448 = 27353167197
BaseRepresentation
bin100111111010001…
…010111010000000
31201122220012021010
4213322022322000
52332401413243
6150235000520
722410112164
oct4772127200
91648805233
10669560448
11313a49747
12168299140
13a894231b
1464cd2ca4
153dbad433
hex27e8ae80

669560448 has 128 divisors (see below), whose sum is σ = 1832181120. Its totient is φ = 216559616.

The previous prime is 669560417. The next prime is 669560467. The reversal of 669560448 is 844065966.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6695604482 = 896622387051921408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 669560397 and 669560406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3398686 + ... + 3398882.

It is an arithmetic number, because the mean of its divisors is an integer number (14313915).

Almost surely, 2669560448 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 669560448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916090560).

669560448 is an abundant number, since it is smaller than the sum of its proper divisors (1162620672).

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

669560448 is a wasteful number, since it uses less digits than its factorization.

669560448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 669560448 is about 25875.8661304313. The cubic root of 669560448 is about 874.8426157206.

The spelling of 669560448 in words is "six hundred sixty-nine million, five hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 167 192 197 212 318 334 384 394 424 501 591 636 668 788 848 1002 1182 1272 1336 1576 1696 2004 2364 2544 2672 3152 3392 4008 4728 5088 5344 6304 6784 8016 8851 9456 10176 10441 10688 12608 16032 17702 18912 20352 20882 21376 25216 26553 31323 32064 32899 35404 37824 41764 53106 62646 64128 65798 70808 75648 83528 98697 106212 125292 131596 141616 167056 197394 212424 250584 263192 283232 334112 394788 424848 501168 526384 566464 668224 789576 849696 1002336 1052768 1132928 1336448 1579152 1699392 1743647 2004672 2105536 3158304 3398784 3487294 4009344 4211072 5230941 6316608 6974588 10461882 12633216 13949176 20923764 27898352 41847528 55796704 83695056 111593408 167390112 223186816 334780224 669560448