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27454480 = 2451133037
BaseRepresentation
bin110100010111…
…0110000010000
31220122211110121
41220232300100
524012020410
62420240024
7452234134
oct150566020
956584417
1027454480
1114551a59
129240014
1358c3471
1439093c4
1526249da
hex1a2ec10

27454480 has 40 divisors (see below), whose sum is σ = 64417752. Its totient is φ = 10881024.

The previous prime is 27454459. The next prime is 27454501. The reversal of 27454480 is 8445472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27454459) and next prime (27454501).

It can be written as a sum of positive squares in 4 ways, for example, as 952576 + 26501904 = 976^2 + 5148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7522 + ... + 10558.

Almost surely, 227454480 is an apocalyptic number.

27454480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27454480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32208876).

27454480 is an abundant number, since it is smaller than the sum of its proper divisors (36963272).

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

27454480 is a wasteful number, since it uses less digits than its factorization.

27454480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 27454480 is about 5239.7022816187. The cubic root of 27454480 is about 301.6739020612.

It can be divided in two parts, 2745 and 4480, that added together give a square (7225 = 852).

The spelling of 27454480 in words is "twenty-seven million, four hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 3037 4520 6074 9040 12148 15185 24296 30370 48592 60740 121480 242960 343181 686362 1372724 1715905 2745448 3431810 5490896 6863620 13727240 27454480