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5456832 = 26397293
BaseRepresentation
bin10100110100001111000000
3101021020100220
4110310033000
52344104312
6312543040
764245063
oct24641700
911236326
105456832
113097887
1219b1a80
1311909c4
14a208da
1572bc8c
hex5343c0

5456832 has 56 divisors (see below), whose sum is σ = 14636496. Its totient is φ = 1794048.

The previous prime is 5456821. The next prime is 5456839. The reversal of 5456832 is 2386545.

It is a junction number, because it is equal to n+sod(n) for n = 5456793 and 5456802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5456839) 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, 18478 + ... + 18770.

It is an arithmetic number, because the mean of its divisors is an integer number (261366).

Almost surely, 25456832 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 5456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318248).

5456832 is an abundant number, since it is smaller than the sum of its proper divisors (9179664).

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

5456832 is a wasteful number, since it uses less digits than its factorization.

5456832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 5456832 is about 2335.9863013297. The cubic root of 5456832 is about 176.0543909028.

The spelling of 5456832 in words is "five million, four hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 293 388 582 586 776 879 1164 1172 1552 1758 2328 2344 3104 3516 4656 4688 6208 7032 9312 9376 14064 18624 18752 28128 28421 56256 56842 85263 113684 170526 227368 341052 454736 682104 909472 1364208 1818944 2728416 5456832