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242108282025 = 3252328032
BaseRepresentation
bin1110000101111011000…
…1110011010010101001
3212010220221110001020100
43201132301303102221
512431314210011100
6303120100420013
723330445304431
oct3413661632251
9763827401210
10242108282025
119374a8a4785
123ab096a7609
1319aa50cc19c
14ba0a6932c1
1564700ac400
hex385ec734a9

242108282025 has 27 divisors (see below), whose sum is σ = 433656054039. Its totient is φ = 129120480720.

The previous prime is 242108281979. The next prime is 242108282041. The reversal of 242108282025 is 520282801242.

It is a happy number.

The square root of 242108282025 is 492045.

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

242108282025 is a `hidden beast` number, since 2 + 421 + 0 + 8 + 28 + 202 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87158981529 + 154949300496 = 295227^2 + 393636^2 .

It is not a de Polignac number, because 242108282025 - 213 = 242108273833 is a prime.

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, 7364274 + ... + 7397076.

Almost surely, 2242108282025 is an apocalyptic number.

242108282025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242108282025 is the 492045-th square number.

242108282025 is the 246023-rd centered octagonal number.

It is an amenable number.

242108282025 is a deficient number, since it is larger than the sum of its proper divisors (191547772014).

242108282025 is an frugal number, since it uses more digits than its factorization.

242108282025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65622 (or 32811 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Multiplying 242108282025 by its sum of digits (36), we get a square (8715898152900 = 29522702).

The spelling of 242108282025 in words is "two hundred forty-two billion, one hundred eight million, two hundred eighty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 32803 98409 164015 295227 492045 820075 1476135 2460225 7380675 1076036809 3228110427 5380184045 9684331281 16140552135 26900920225 48421656405 80702760675 242108282025