Search a number
-
+
28459431 = 37711132
BaseRepresentation
bin110110010010…
…0000110100111
31222112220000000
41230210012213
524241200211
62453552343
7463621050
oct154440647
958486000
1028459431
1115078aa0
1296456b3
135b85a00
143acb727
152772656
hex1b241a7

28459431 has 96 divisors (see below), whose sum is σ = 57623040. Its totient is φ = 13646880.

The previous prime is 28459429. The next prime is 28459451. The reversal of 28459431 is 13495482.

It is not a de Polignac number, because 28459431 - 21 = 28459429 is a prime.

It is a super-2 number, since 2×284594312 = 1619878425687522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28459451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2189181 + ... + 2189193.

It is an arithmetic number, because the mean of its divisors is an integer number (600240).

Almost surely, 228459431 is an apocalyptic number.

28459431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

28459431 is an abundant number, since it is smaller than the sum of its proper divisors (29163609).

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

28459431 is an equidigital number, since it uses as much as digits as its factorization.

28459431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

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

The square root of 28459431 is about 5334.7381379033. The cubic root of 28459431 is about 305.3107323213.

The spelling of 28459431 in words is "twenty-eight million, four hundred fifty-nine thousand, four hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 169 189 231 243 273 297 351 429 507 567 693 729 819 891 1001 1053 1183 1287 1521 1701 1859 2079 2187 2457 2673 3003 3159 3549 3861 4563 5103 5577 6237 7371 8019 9009 9477 10647 11583 13013 13689 15309 16731 18711 22113 24057 27027 28431 31941 34749 39039 41067 50193 56133 66339 81081 95823 104247 117117 123201 150579 168399 199017 243243 287469 312741 351351 369603 451737 729729 862407 1054053 1355211 2189187 2587221 3162159 4065633 9486477 28459431