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2976248025 = 325236372
BaseRepresentation
bin1011000101100101…
…1111000011011001
321200102100001202100
42301121133003121
522043404414100
61211155154013
7133516455642
oct26131370331
97612301670
102976248025
111298018213
126b08a5909
133857b940a
142033c26c9
15126451400
hexb165f0d9

2976248025 has 27 divisors (see below), whose sum is σ = 5332257021. Its totient is φ = 1586895840.

The previous prime is 2976248003. The next prime is 2976248059. The reversal of 2976248025 is 5208426792.

The square root of 2976248025 is 54555.

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

2976248025 is a `hidden beast` number, since 2 + 97 + 62 + 480 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1421365401 + 1554882624 = 37701^2 + 39432^2 .

It is not a de Polignac number, because 2976248025 - 29 = 2976247513 is a prime.

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

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 26 ways as a sum of consecutive naturals, for example, 816507 + ... + 820143.

Almost surely, 22976248025 is an apocalyptic number.

2976248025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2976248025 is the 54555-th square number.

2976248025 is the 27278-th centered octagonal number.

It is an amenable number.

2976248025 is a deficient number, since it is larger than the sum of its proper divisors (2356008996).

2976248025 is an frugal number, since it uses more digits than its factorization.

2976248025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The cubic root of 2976248025 is about 1438.4332279159.

It can be divided in two parts, 2976 and 248025, that added together give a square (251001 = 5012).

The spelling of 2976248025 in words is "two billion, nine hundred seventy-six million, two hundred forty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3637 10911 18185 32733 54555 90925 163665 272775 818325 13227769 39683307 66138845 119049921 198416535 330694225 595249605 992082675 2976248025