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5426432 = 28114147
BaseRepresentation
bin10100101100110100000000
3101012200122222
4110230310000
52342121212
6312150212
764060334
oct24546400
911180588
105426432
113076a60
121998368
13117cc0b
14a137c4
15722c72
hex52cd00

5426432 has 72 divisors (see below), whose sum is σ = 12362112. Its totient is φ = 2355200.

The previous prime is 5426411. The next prime is 5426437. The reversal of 5426432 is 2346245.

It is a d-powerful number, because it can be written as 55 + 410 + 29 + 66 + 411 + 37 + 217 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5426437) 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, 115433 + ... + 115479.

It is an arithmetic number, because the mean of its divisors is an integer number (171696).

Almost surely, 25426432 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 5426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056).

5426432 is an abundant number, since it is smaller than the sum of its proper divisors (6935680).

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

5426432 is a wasteful number, since it uses less digits than its factorization.

5426432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 5426432 is about 2329.4703260613. The cubic root of 5426432 is about 175.7268490178.

The spelling of 5426432 in words is "five million, four hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 47 64 82 88 94 128 164 176 188 256 328 352 376 451 517 656 704 752 902 1034 1312 1408 1504 1804 1927 2068 2624 2816 3008 3608 3854 4136 5248 6016 7216 7708 8272 10496 12032 14432 15416 16544 21197 28864 30832 33088 42394 57728 61664 66176 84788 115456 123328 132352 169576 246656 339152 493312 678304 1356608 2713216 5426432