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5557656 = 2331347379
BaseRepresentation
bin10101001100110110011000
3101110100200010
4111030312120
52410321111
6315041520
765145036
oct25146630
911410603
105557656
113156605
121a402a0
1311c7870
14a49556
1574baa6
hex54cd98

5557656 has 64 divisors (see below), whose sum is σ = 15321600. Its totient is φ = 1669248.

The previous prime is 5557631. The next prime is 5557661. The reversal of 5557656 is 6567555.

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 Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 14475 + ... + 14853.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 25557656 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 5557656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660800).

5557656 is an abundant number, since it is smaller than the sum of its proper divisors (9763944).

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

5557656 is a wasteful number, since it uses less digits than its factorization.

5557656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its digits is 157500, while the sum is 39.

The square root of 5557656 is about 2357.4681334007. The cubic root of 5557656 is about 177.1320792709.

The spelling of 5557656 in words is "five million, five hundred fifty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 379 564 611 758 1128 1137 1222 1516 1833 2274 2444 3032 3666 4548 4888 4927 7332 9096 9854 14664 14781 17813 19708 29562 35626 39416 53439 59124 71252 106878 118248 142504 213756 231569 427512 463138 694707 926276 1389414 1852552 2778828 5557656