[go: up one dir, main page]

Search a number
-
+
28429056 = 2835457
BaseRepresentation
bin110110001110…
…0101100000000
31222111100100000
41230130230000
524234212211
62453200000
7463433355
oct154345400
958440300
1028429056
1115058197
129630000
135b74c36
143ac062c
152768656
hex1b1cb00

28429056 has 108 divisors (see below), whose sum is σ = 85189832. Its totient is φ = 9455616.

The previous prime is 28429043. The next prime is 28429067. The reversal of 28429056 is 65092482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×284290562 = 1616422450102272, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 28429056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61980 + ... + 62436.

Almost surely, 228429056 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 28429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42594916).

28429056 is an abundant number, since it is smaller than the sum of its proper divisors (56760776).

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

28429056 is an frugal number, since it uses more digits than its factorization.

28429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 462 counting only the distinct ones).

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

The square root of 28429056 is about 5331.8904714932. The cubic root of 28429056 is about 305.2020733816.

The spelling of 28429056 in words is "twenty-eight million, four hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 457 486 576 648 768 864 914 972 1152 1296 1371 1728 1828 1944 2304 2592 2742 3456 3656 3888 4113 5184 5484 6912 7312 7776 8226 10368 10968 12339 14624 15552 16452 20736 21936 24678 29248 31104 32904 37017 43872 49356 58496 62208 65808 74034 87744 98712 111051 116992 131616 148068 175488 197424 222102 263232 296136 350976 394848 444204 526464 592272 789696 888408 1052928 1184544 1579392 1776816 2369088 3158784 3553632 4738176 7107264 9476352 14214528 28429056