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2490103200 = 253521379811
BaseRepresentation
bin1001010001101011…
…1111010110100000
320102112120100102110
42110122333112200
520044431300300
61051031315320
7115464346044
oct22432772640
96375510373
102490103200
111068664432
12595b1bb40
13308b75860
141989d6024
15e8923550
hex946bf5a0

2490103200 has 144 divisors (see below), whose sum is σ = 8728878816. Its totient is φ = 612940800.

The previous prime is 2490103181. The next prime is 2490103223. The reversal of 2490103200 is 23010942.

2490103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24901032002 = 12401227893300480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8706 + ... + 71105.

It is an arithmetic number, because the mean of its divisors is an integer number (60617214).

Almost surely, 22490103200 is an apocalyptic number.

2490103200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2490103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364439408).

2490103200 is an abundant number, since it is smaller than the sum of its proper divisors (6238775616).

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

2490103200 is a wasteful number, since it uses less digits than its factorization.

2490103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79847 (or 79834 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2490103200 is about 49900.9338589971. The cubic root of 2490103200 is about 1355.4155032629.

The spelling of 2490103200 in words is "two billion, four hundred ninety million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 6240 7800 10400 15600 31200 79811 159622 239433 319244 399055 478866 638488 798110 957732 1037543 1197165 1276976 1596220 1915464 1995275 2075086 2394330 2553952 3112629 3192440 3830928 3990550 4150172 4788660 5187715 5985825 6225258 6384880 7661856 7981100 8300344 9577320 10375430 11971650 12450516 12769760 15563145 15962200 16600688 19154640 20750860 23943300 24901032 25938575 31126290 31924400 33201376 38309280 41501720 47886600 49802064 51877150 62252580 63848800 77815725 83003440 95773200 99604128 103754300 124505160 155631450 166006880 191546400 207508600 249010320 311262900 415017200 498020640 622525800 830034400 1245051600 2490103200