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427447360 = 26511311821
BaseRepresentation
bin11001011110100…
…101010001000000
31002210022120112201
4121132211101000
51333411303420
6110225402544
713410146134
oct3136452100
91083276481
10427447360
111aa31258a
12bb199454
136a731742
1440aab3c4
15277d610a
hex197a5440

427447360 has 56 divisors (see below), whose sum is σ = 1026953496. Its totient is φ = 169451520.

The previous prime is 427447357. The next prime is 427447369. The reversal of 427447360 is 63744724.

It can be written as a sum of positive squares in 4 ways, for example, as 18113536 + 409333824 = 4256^2 + 20232^2 .

It is a super-2 number, since 2×4274473602 = 365422491141939200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427447369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30250 + ... + 42070.

Almost surely, 2427447360 is an apocalyptic number.

427447360 is a gapful number since it is divisible by the number (40) 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 427447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513476748).

427447360 is an abundant number, since it is smaller than the sum of its proper divisors (599506136).

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

427447360 is a wasteful number, since it uses less digits than its factorization.

427447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11951 (or 11941 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 37.

The square root of 427447360 is about 20674.8001199528. The cubic root of 427447360 is about 753.2877061844.

The spelling of 427447360 in words is "four hundred twenty-seven million, four hundred forty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 904 1130 1808 2260 3616 4520 7232 9040 11821 18080 23642 36160 47284 59105 94568 118210 189136 236420 378272 472840 756544 945680 1335773 1891360 2671546 3782720 5343092 6678865 10686184 13357730 21372368 26715460 42744736 53430920 85489472 106861840 213723680 427447360