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2088033025 = 52132192372
BaseRepresentation
bin111110001110100…
…1101101100000001
312101112000001211111
41330131031230001
513234014024100
6543105443321
7102512662561
oct17435155401
95345001744
102088033025
11981705131
124a3340541
1327378ac00
1415b452da1
15c34a16ba
hex7c74db01

2088033025 has 81 divisors (see below), whose sum is σ = 3041108091. Its totient is φ = 1421297280.

The previous prime is 2088033023. The next prime is 2088033053. The reversal of 2088033025 is 5203308802.

The square root of 2088033025 is 45695.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1204992369 + 883040656 = 34713^2 + 29716^2 .

It is not a de Polignac number, because 2088033025 - 21 = 2088033023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2088033023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 56433307 + ... + 56433343.

Almost surely, 22088033025 is an apocalyptic number.

2088033025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2088033025 is the 45695-th square number.

2088033025 is the 22848-th centered octagonal number.

It is an amenable number.

2088033025 is a deficient number, since it is larger than the sum of its proper divisors (953075066).

2088033025 is a wasteful number, since it uses less digits than its factorization.

2088033025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The cubic root of 2088033025 is about 1278.1420442169.

The spelling of 2088033025 in words is "two billion, eighty-eight million, thirty-three thousand, twenty-five".

Divisors: 1 5 13 19 25 37 65 95 169 185 247 325 361 475 481 703 845 925 1235 1369 1805 2405 3211 3515 4225 4693 6175 6253 6845 9025 9139 12025 13357 16055 17575 17797 23465 26011 31265 34225 45695 61009 66785 80275 88985 117325 118807 130055 156325 173641 228475 231361 305045 333925 338143 444925 494209 594035 650275 868205 1156805 1525225 1690715 2257333 2471045 2970175 4341025 4395859 5784025 6424717 8453575 11286665 12355225 21979295 32123585 56433325 83521321 109896475 160617925 417606605 2088033025