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282327509025 = 3252354232
BaseRepresentation
bin1000001101111000000…
…01111110100000100001
3222222201220000110122100
410012330001332200201
514111201320242100
6333411030201013
726253224142132
oct4067401764041
9888656013570
10282327509025
11a9809578261
1246872ab3169
132081470b363
14d944009c89
157525e4a400
hex41bc07e821

282327509025 has 27 divisors (see below), whose sum is σ = 505694214259. Its totient is φ = 150570420720.

The previous prime is 282327508919. The next prime is 282327509033. The reversal of 282327509025 is 520905723282.

The square root of 282327509025 is 531345.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 101637903249 + 180689605776 = 318807^2 + 425076^2 .

It is not a de Polignac number, because 282327509025 - 223 = 282319120417 is a prime.

It is a super-2 number, since 2×2823275090252 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7952464 + ... + 7987886.

Almost surely, 2282327509025 is an apocalyptic number.

282327509025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

282327509025 is the 531345-th square number.

282327509025 is the 265673-rd centered octagonal number.

It is an amenable number.

282327509025 is a deficient number, since it is larger than the sum of its proper divisors (223366705234).

282327509025 is an frugal number, since it uses more digits than its factorization.

282327509025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70862 (or 35431 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 282327509025 in words is "two hundred eighty-two billion, three hundred twenty-seven million, five hundred nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 35423 106269 177115 318807 531345 885575 1594035 2656725 7970175 1254788929 3764366787 6273944645 11293100361 18821833935 31369723225 56465501805 94109169675 282327509025