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5633964 = 2232779283
BaseRepresentation
bin10101011111011110101100
3101121020100100
4111133132230
52420241324
6320431100
765613360
oct25373654
911536310
105633964
1131a8976
121a78490
13122350b
14a692a0
157644c9
hex55f7ac

5633964 has 72 divisors (see below), whose sum is σ = 16540160. Its totient is φ = 1583712.

The previous prime is 5633959. The next prime is 5633977. The reversal of 5633964 is 4693365.

5633964 is a `hidden beast` number, since 563 + 3 + 96 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19767 + ... + 20049.

Almost surely, 25633964 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 5633964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270080).

5633964 is an abundant number, since it is smaller than the sum of its proper divisors (10906196).

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

5633964 is a wasteful number, since it uses less digits than its factorization.

5633964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 374 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 5633964 is about 2373.5972699681. The cubic root of 5633964 is about 177.9390861720.

The spelling of 5633964 in words is "five million, six hundred thirty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 283 316 474 553 566 711 849 948 1106 1132 1422 1659 1698 1981 2212 2547 2844 3318 3396 3962 4977 5094 5943 6636 7924 9954 10188 11886 17829 19908 22357 23772 35658 44714 67071 71316 89428 134142 156499 201213 268284 312998 402426 469497 625996 804852 938994 1408491 1877988 2816982 5633964