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5557632 = 27341353
BaseRepresentation
bin10101001100110110000000
3101110100122020
4111030312000
52410321012
6315041440
765145003
oct25146600
911410566
105557632
113156593
121a40280
1311c7852
14a4953a
1574ba8c
hex54cd80

5557632 has 64 divisors (see below), whose sum is σ = 15165360. Its totient is φ = 1802240.

The previous prime is 5557631. The next prime is 5557661. The reversal of 5557632 is 2367555.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5557593 and 5557602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5557631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15568 + ... + 15920.

Almost surely, 25557632 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 5557632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582680).

5557632 is an abundant number, since it is smaller than the sum of its proper divisors (9607728).

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

5557632 is a wasteful number, since it uses less digits than its factorization.

5557632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its digits is 31500, while the sum is 33.

The square root of 5557632 is about 2357.4630431886. The cubic root of 5557632 is about 177.1318242968.

The spelling of 5557632 in words is "five million, five hundred fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 353 384 492 656 706 984 1059 1312 1412 1968 2118 2624 2824 3936 4236 5248 5648 7872 8472 11296 14473 15744 16944 22592 28946 33888 43419 45184 57892 67776 86838 115784 135552 173676 231568 347352 463136 694704 926272 1389408 1852544 2778816 5557632