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2499000100 = 225249992
BaseRepresentation
bin1001010011110011…
…1011011100100100
320110011022100200021
42110330323130210
520104221000400
61051550124524
7115633102402
oct22474733444
96404270607
102499000100
111072690843
12598ab0744
1330a96c2ac
14199c70472
15e95ce71a
hex94f3b724

2499000100 has 27 divisors (see below), whose sum is σ = 5423915217. Its totient is φ = 999400080.

The previous prime is 2499000089. The next prime is 2499000109. The reversal of 2499000100 is 10009942.

The square root of 2499000100 is 49990.

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., 899640036 + 1599360064 = 29994^2 + 39992^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2499000109) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 497401 + ... + 502399.

Almost surely, 22499000100 is an apocalyptic number.

2499000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2499000100 is the 49990-th square number.

It is an amenable number.

2499000100 is an abundant number, since it is smaller than the sum of its proper divisors (2924915117).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2499000100 is an frugal number, since it uses more digits than its factorization.

2499000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The cubic root of 2499000100 is about 1357.0278410904.

Multiplying 2499000100 by its sum of digits (25), we get a square (62475002500 = 2499502).

2499000100 divided by its sum of digits (25) gives a square (99960004 = 99982).

The spelling of 2499000100 in words is "two billion, four hundred ninety-nine million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 4999 9998 19996 24995 49990 99980 124975 249950 499900 24990001 49980002 99960004 124950005 249900010 499800020 624750025 1249500050 2499000100