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2625404240 = 245157209029
BaseRepresentation
bin1001110001111100…
…0111110101010000
320202222011100120002
42130133013311100
520334100413430
61112303305132
7122026365524
oct23437076520
96688140502
102625404240
111127a77078
126132ab1a8
1332abc9144
141ac975d84
1510574c845
hex9c7c7d50

2625404240 has 40 divisors (see below), whose sum is σ = 6142973640. Its totient is φ = 1043467776.

The previous prime is 2625404213. The next prime is 2625404251. The reversal of 2625404240 is 424045262.

It can be written as a sum of positive squares in 4 ways, for example, as 22771984 + 2602632256 = 4772^2 + 51016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 91955 + ... + 117074.

It is an arithmetic number, because the mean of its divisors is an integer number (153574341).

Almost surely, 22625404240 is an apocalyptic number.

2625404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2625404240 is an abundant number, since it is smaller than the sum of its proper divisors (3517569400).

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

2625404240 is a wasteful number, since it uses less digits than its factorization.

2625404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209199 (or 209193 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 2625404240 is about 51238.6986563867. The cubic root of 2625404240 is about 1379.5328951915.

The spelling of 2625404240 in words is "two billion, six hundred twenty-five million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 209029 418058 836116 1045145 1672232 2090290 3344464 4180580 8361160 16722320 32817553 65635106 131270212 164087765 262540424 328175530 525080848 656351060 1312702120 2625404240