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5408964 = 22331129157
BaseRepresentation
bin10100101000100011000100
3101011210201000
4110220203010
52341041324
6311533300
763655401
oct24504304
911153630
105408964
113064920
12198a230
131174c92
14a0b2a8
1571c9c9
hex5288c4

5408964 has 96 divisors (see below), whose sum is σ = 15926400. Its totient is φ = 1572480.

The previous prime is 5408959. The next prime is 5408981. The reversal of 5408964 is 4698045.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34374 + ... + 34530.

It is an arithmetic number, because the mean of its divisors is an integer number (165900).

Almost surely, 25408964 is an apocalyptic number.

5408964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5408964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7963200).

5408964 is an abundant number, since it is smaller than the sum of its proper divisors (10517436).

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

5408964 is a wasteful number, since it uses less digits than its factorization.

5408964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5408964 is about 2325.7179536651. The cubic root of 5408964 is about 175.5380880150.

The spelling of 5408964 in words is "five million, four hundred eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 157 174 198 261 297 314 319 348 396 471 522 594 628 638 783 942 957 1044 1188 1276 1413 1566 1727 1884 1914 2826 2871 3132 3454 3828 4239 4553 5181 5652 5742 6908 8478 8613 9106 10362 11484 13659 15543 16956 17226 18212 20724 27318 31086 34452 40977 46629 50083 54636 62172 81954 93258 100166 122931 150249 163908 186516 200332 245862 300498 450747 491724 600996 901494 1352241 1802988 2704482 5408964