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5648076 = 2233731241
BaseRepresentation
bin10101100010111011001100
3101121221201000
4111202323030
52421214301
6321020300
766002460
oct25427314
911557630
105648076
113208535
121a84690
131229a75
14a704a0
15768786
hex562ecc

5648076 has 96 divisors (see below), whose sum is σ = 17346560. Its totient is φ = 1555200.

The previous prime is 5648059. The next prime is 5648077. The reversal of 5648076 is 6708465.

It is a happy number.

5648076 is a `hidden beast` number, since 5 + 648 + 0 + 7 + 6 = 666.

5648076 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5648076.

It is not an unprimeable number, because it can be changed into a prime (5648077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23316 + ... + 23556.

Almost surely, 25648076 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 5648076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673280).

5648076 is an abundant number, since it is smaller than the sum of its proper divisors (11698484).

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

5648076 is a wasteful number, since it uses less digits than its factorization.

5648076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5648076 is about 2376.5681138987. The cubic root of 5648076 is about 178.0875300686.

The spelling of 5648076 in words is "five million, six hundred forty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 241 252 279 372 378 434 482 558 651 723 756 837 868 964 1116 1302 1446 1674 1687 1953 2169 2604 2892 3348 3374 3906 4338 5061 5859 6507 6748 7471 7812 8676 10122 11718 13014 14942 15183 20244 22413 23436 26028 29884 30366 44826 45549 52297 60732 67239 89652 91098 104594 134478 156891 182196 201717 209188 268956 313782 403434 470673 627564 806868 941346 1412019 1882692 2824038 5648076