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427370500 = 22533972153
BaseRepresentation
bin11001011110010…
…010100000000100
31002210011200010001
4121132102200010
51333401324000
6110224011044
713406406064
oct3136224004
91083150101
10427370500
111aa26a867
12bb160a84
136a70576b
1440a8b3a4
15277bd46a
hex19792804

427370500 has 48 divisors (see below), whose sum is σ = 936162864. Its totient is φ = 170438400.

The previous prime is 427370459. The next prime is 427370527. The reversal of 427370500 is 5073724.

It can be written as a sum of positive squares in 8 ways, for example, as 208744704 + 218625796 = 14448^2 + 14786^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 197424 + ... + 199576.

It is an arithmetic number, because the mean of its divisors is an integer number (19503393).

Almost surely, 2427370500 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 427370500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468081432).

427370500 is an abundant number, since it is smaller than the sum of its proper divisors (508792364).

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

427370500 is a wasteful number, since it uses less digits than its factorization.

427370500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 427370500 is about 20672.9412517910. The cubic root of 427370500 is about 753.2425535184.

The spelling of 427370500 in words is "four hundred twenty-seven million, three hundred seventy thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 397 500 794 1588 1985 2153 3970 4306 7940 8612 9925 10765 19850 21530 39700 43060 49625 53825 99250 107650 198500 215300 269125 538250 854741 1076500 1709482 3418964 4273705 8547410 17094820 21368525 42737050 85474100 106842625 213685250 427370500