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427583780 = 225131938521
BaseRepresentation
bin11001011111000…
…110100100100100
31002210120111200022
4121133012210210
51333430140110
6110232334312
713411254641
oct3137064444
91083514608
10427583780
111aa3a6028
12bb244398
136a77b870
1440b04dc8
1527811755
hex197c6924

427583780 has 48 divisors (see below), whose sum is σ = 972121584. Its totient is φ = 157040640.

The previous prime is 427583759. The next prime is 427583789. The reversal of 427583780 is 87385724.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 67798756 + 359785024 = 8234^2 + 18968^2 .

It is not an unprimeable number, because it can be changed into a prime (427583789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45920 + ... + 54440.

It is an arithmetic number, because the mean of its divisors is an integer number (20252533).

Almost surely, 2427583780 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 427583780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486060792).

427583780 is an abundant number, since it is smaller than the sum of its proper divisors (544537804).

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

427583780 is a wasteful number, since it uses less digits than its factorization.

427583780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8736 (or 8734 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The square root of 427583780 is about 20678.0990422234. The cubic root of 427583780 is about 753.3678350206.

The spelling of 427583780 in words is "four hundred twenty-seven million, five hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1930 2509 3860 5018 8521 10036 12545 17042 25090 34084 42605 50180 85210 110773 170420 221546 443092 553865 1107730 1644553 2215460 3289106 6578212 8222765 16445530 21379189 32891060 42758378 85516756 106895945 213791890 427583780