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2504240250 = 235317593329
BaseRepresentation
bin1001010101000011…
…1010110001111010
320110112011120210220
42111100322301322
520112041142000
61052254320510
7116025455661
oct22520726172
96415146726
102504240250
11107563a846
1259a7b9136
1330ba85485
1419a835dd8
15e9cb71a0
hex9543ac7a

2504240250 has 128 divisors (see below), whose sum is σ = 6732460800. Its totient is φ = 617676800.

The previous prime is 2504240239. The next prime is 2504240257. The reversal of 2504240250 is 520424052.

It is a happy number.

2504240250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2504240250.

It is not an unprimeable number, because it can be changed into a prime (2504240257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 750586 + ... + 753914.

It is an arithmetic number, because the mean of its divisors is an integer number (52597350).

Almost surely, 22504240250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504240250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366230400).

2504240250 is an abundant number, since it is smaller than the sum of its proper divisors (4228220550).

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

2504240250 is a wasteful number, since it uses less digits than its factorization.

2504240250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2504240250 is about 50042.3845355115. The cubic root of 2504240250 is about 1357.9756955082.

The spelling of 2504240250 in words is "two billion, five hundred four million, two hundred forty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 59 75 85 102 118 125 150 170 177 250 255 295 354 375 425 510 590 750 850 885 1003 1275 1475 1770 2006 2125 2550 2950 3009 3329 4250 4425 5015 6018 6375 6658 7375 8850 9987 10030 12750 14750 15045 16645 19974 22125 25075 30090 33290 44250 49935 50150 56593 75225 83225 99870 113186 125375 150450 166450 169779 196411 249675 250750 282965 339558 376125 392822 416125 499350 565930 589233 752250 832250 848895 982055 1178466 1248375 1414825 1697790 1964110 2496750 2829650 2946165 3338987 4244475 4910275 5892330 6677974 7074125 8488950 9820550 10016961 14148250 14730825 16694935 20033922 21222375 24551375 29461650 33389870 42444750 49102750 50084805 73654125 83474675 100169610 147308250 166949350 250424025 417373375 500848050 834746750 1252120125 2504240250