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5409888 = 2531147109
BaseRepresentation
bin10100101000110001100000
3101011211222020
4110220301200
52341104023
6311541440
763661161
oct24506140
911154866
105409888
113065590
12198a880
131175523
14a0b768
1571cde3
hex528c60

5409888 has 96 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1589760.

The previous prime is 5409847. The next prime is 5409913. The reversal of 5409888 is 8889045.

5409888 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49578 + ... + 49686.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 25409888 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 5409888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

5409888 is an abundant number, since it is smaller than the sum of its proper divisors (10556832).

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

5409888 is a wasteful number, since it uses less digits than its factorization.

5409888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 5409888 is about 2325.9165935175. The cubic root of 5409888 is about 175.5480830257.

The spelling of 5409888 in words is "five million, four hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 109 132 141 176 188 218 264 282 327 352 376 436 517 528 564 654 752 872 1034 1056 1128 1199 1308 1504 1551 1744 2068 2256 2398 2616 3102 3488 3597 4136 4512 4796 5123 5232 6204 7194 8272 9592 10246 10464 12408 14388 15369 16544 19184 20492 24816 28776 30738 38368 40984 49632 56353 57552 61476 81968 112706 115104 122952 163936 169059 225412 245904 338118 450824 491808 676236 901648 1352472 1803296 2704944 5409888