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5426928 = 2432132223
BaseRepresentation
bin10100101100111011110000
3101012201100100
4110230323300
52342130203
6312152400
764061643
oct24547360
911181310
105426928
113077371
121998700
131180200
14a13a5a
15722ea3
hex52cef0

5426928 has 90 divisors (see below), whose sum is σ = 16519776. Its totient is φ = 1662336.

The previous prime is 5426921. The next prime is 5426947. The reversal of 5426928 is 8296245.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 5426892 and 5426901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5426921) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24225 + ... + 24447.

Almost surely, 25426928 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 5426928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8259888).

5426928 is an abundant number, since it is smaller than the sum of its proper divisors (11092848).

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

5426928 is a wasteful number, since it uses less digits than its factorization.

5426928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

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

The square root of 5426928 is about 2329.5767855986. The cubic root of 5426928 is about 175.7322029264.

The spelling of 5426928 in words is "five million, four hundred twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 223 234 312 338 446 468 507 624 669 676 892 936 1014 1338 1352 1521 1784 1872 2007 2028 2676 2704 2899 3042 3568 4014 4056 5352 5798 6084 8028 8112 8697 10704 11596 12168 16056 17394 23192 24336 26091 32112 34788 37687 46384 52182 69576 75374 104364 113061 139152 150748 208728 226122 301496 339183 417456 452244 602992 678366 904488 1356732 1808976 2713464 5426928