[go: up one dir, main page]

Search a number
-
+
27434628 = 22321331261
BaseRepresentation
bin110100010100…
…1111010000100
31220121211020100
41220221322010
524010402003
62420004100
7452122224
oct150517204
956554210
1027434628
1114539051
129230630
1358b7410
143902084
15261dba3
hex1a29e84

27434628 has 108 divisors (see below), whose sum is σ = 78435084. Its totient is φ = 8035200.

The previous prime is 27434623. The next prime is 27434629. The reversal of 27434628 is 82643472.

27434628 is a `hidden beast` number, since 27 + 4 + 3 + 4 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 25220484 = 1488^2 + 5022^2 .

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 = 27434592 and 27434601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27434621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449718 + ... + 449778.

Almost surely, 227434628 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 27434628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39217542).

27434628 is an abundant number, since it is smaller than the sum of its proper divisors (51000456).

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

27434628 is a wasteful number, since it uses less digits than its factorization.

27434628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 110 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 27434628 is about 5237.8075566023. The cubic root of 27434628 is about 301.6011722873.

The spelling of 27434628 in words is "twenty-seven million, four hundred thirty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 61 62 78 93 117 122 124 156 183 186 234 244 279 366 372 403 468 549 558 732 793 806 961 1098 1116 1209 1586 1612 1891 1922 2196 2379 2418 2883 3172 3627 3782 3844 4758 4836 5673 5766 7137 7254 7564 8649 9516 11346 11532 12493 14274 14508 17019 17298 22692 24583 24986 28548 34038 34596 37479 49166 49972 58621 68076 73749 74958 98332 112437 117242 147498 149916 175863 221247 224874 234484 294996 351726 442494 449748 527589 703452 762073 884988 1055178 1524146 2110356 2286219 3048292 4572438 6858657 9144876 13717314 27434628