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2039425600 = 265211292
BaseRepresentation
bin111100110001111…
…0010101001000000
312021010112112222111
41321203302221000
513134043104400
6534211545104
7101352555142
oct17143625100
95233475874
102039425600
11957225703
1248abbb194
1326669c614
14154bdcc92
15be09e3ba
hex798f2a40

2039425600 has 63 divisors (see below), whose sum is σ = 5022710427. Its totient is φ = 815047680.

The previous prime is 2039425579. The next prime is 2039425603. The reversal of 2039425600 is 65249302.

The square root of 2039425600 is 45160.

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

It can be written as a sum of positive squares in 4 ways, for example, as 710968896 + 1328456704 = 26664^2 + 36448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2039425603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1805836 + ... + 1806964.

Almost surely, 22039425600 is an apocalyptic number.

2039425600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2039425600 is the 45160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2039425600

2039425600 is an abundant number, since it is smaller than the sum of its proper divisors (2983284827).

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

2039425600 is an frugal number, since it uses more digits than its factorization.

2039425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The cubic root of 2039425600 is about 1268.1460953448.

The spelling of 2039425600 in words is "two billion, thirty-nine million, four hundred twenty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1129 1600 2258 4516 5645 9032 11290 18064 22580 28225 36128 45160 56450 72256 90320 112900 180640 225800 361280 451600 903200 1274641 1806400 2549282 5098564 6373205 10197128 12746410 20394256 25492820 31866025 40788512 50985640 63732050 81577024 101971280 127464100 203942560 254928200 407885120 509856400 1019712800 2039425600