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4980830625 = 32549412
BaseRepresentation
bin1001010001110000…
…10111000110100001
3110212010022102010100
410220320113012201
540200043040000
62142124253013
7234300235041
oct45070270641
913763272110
104980830625
112126604851
12b700a1169
13614ba9574
14353711721
151e241ba00
hex128e171a1

4980830625 has 45 divisors (see below), whose sum is σ = 8999852719. Its totient is φ = 2653620000.

The previous prime is 4980830587. The next prime is 4980830683. The reversal of 4980830625 is 5260380894.

The square root of 4980830625 is 70575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3285697041 + 1695133584 = 57321^2 + 41172^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 4980830625 - 223 = 4972442017 is a prime.

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 44 ways as a sum of consecutive naturals, for example, 5292655 + ... + 5293595.

Almost surely, 24980830625 is an apocalyptic number.

4980830625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4980830625 is the 70575-th square number.

4980830625 is the 35288-th centered octagonal number.

It is an amenable number.

4980830625 is a deficient number, since it is larger than the sum of its proper divisors (4019022094).

4980830625 is an frugal number, since it uses more digits than its factorization.

4980830625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The cubic root of 4980830625 is about 1707.7878700081.

The spelling of 4980830625 in words is "four billion, nine hundred eighty million, eight hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 941 1125 1875 2823 4705 5625 8469 14115 23525 42345 70575 117625 211725 352875 588125 885481 1058625 1764375 2656443 4427405 5293125 7969329 13282215 22137025 39846645 66411075 110685125 199233225 332055375 553425625 996166125 1660276875 4980830625