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5632576 = 261731167
BaseRepresentation
bin10101011111001001000000
3101121011102221
4111133021000
52420220301
6320420424
765606335
oct25371100
911534387
105632576
1131a7924
121a77714
1312229b1
14a6898c
15763da1
hex55f240

5632576 has 56 divisors (see below), whose sum is σ = 12289536. Its totient is φ = 2549760.

The previous prime is 5632573. The next prime is 5632579. The reversal of 5632576 is 6752365.

It is an interprime number because it is at equal distance from previous prime (5632573) and next prime (5632579).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 59 + 66 + 3 + 2 + 59 + 72 + 68 .

It is not an unprimeable number, because it can be changed into a prime (5632573) 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, 33645 + ... + 33811.

It is an arithmetic number, because the mean of its divisors is an integer number (219456).

Almost surely, 25632576 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 5632576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768).

5632576 is an abundant number, since it is smaller than the sum of its proper divisors (6656960).

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

5632576 is a wasteful number, since it uses less digits than its factorization.

5632576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its digits is 37800, while the sum is 34.

The square root of 5632576 is about 2373.3048687432. The cubic root of 5632576 is about 177.9244724390.

The spelling of 5632576 in words is "five million, six hundred thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 167 248 272 334 496 527 544 668 992 1054 1088 1336 1984 2108 2672 2839 4216 5177 5344 5678 8432 10354 10688 11356 16864 20708 22712 33728 41416 45424 82832 88009 90848 165664 176018 181696 331328 352036 704072 1408144 2816288 5632576