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484220025 = 36521632
BaseRepresentation
bin11100110111001…
…001110001111001
31020202010221000000
4130313021301321
51442430020100
6120014303213
714666542122
oct3467116171
91222127000
10484220025
11229369743
121161b7b09
137941b733
1448449049
152c79c900
hex1cdc9c79

484220025 has 63 divisors (see below), whose sum is σ = 905794239. Its totient is φ = 256666320.

The previous prime is 484219979. The next prime is 484220041. The reversal of 484220025 is 520022484.

It is a happy number.

The square root of 484220025 is 22005.

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., 174319209 + 309900816 = 13203^2 + 17604^2 .

It is not a de Polignac number, because 484220025 - 215 = 484187257 is a prime.

It is a super-2 number, since 2×4842200252 = 468938065222001250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2970594 + ... + 2970756.

Almost surely, 2484220025 is an apocalyptic number.

484220025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

484220025 is the 22005-th square number.

484220025 is the 11003-rd centered octagonal number.

It is an amenable number.

484220025 is a deficient number, since it is larger than the sum of its proper divisors (421574214).

484220025 is an frugal number, since it uses more digits than its factorization.

484220025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The cubic root of 484220025 is about 785.2613975242.

The spelling of 484220025 in words is "four hundred eighty-four million, two hundred twenty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 163 225 243 405 489 675 729 815 1215 1467 2025 2445 3645 4075 4401 6075 7335 12225 13203 18225 22005 26569 36675 39609 66015 79707 110025 118827 132845 198045 239121 330075 398535 594135 664225 717363 990225 1195605 1992675 2152089 2970675 3586815 5978025 6456267 10760445 17934075 19368801 32281335 53802225 96844005 161406675 484220025