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2492240300 = 2252118925457
BaseRepresentation
bin1001010010001100…
…1001000110101100
320102200120220222022
42110203021012230
520101003142200
61051145205312
7115521456464
oct22443110654
96380526868
102492240300
111069894030
12596790838
13309443504
14198dd0ba4
15e8be6885
hex948c91ac

2492240300 has 72 divisors (see below), whose sum is σ = 5966336880. Its totient is φ = 896051200.

The previous prime is 2492240291. The next prime is 2492240323. The reversal of 2492240300 is 30422942.

It is a super-2 number, since 2×24922403002 = 12422523425888180000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2492240300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85172 + ... + 110628.

It is an arithmetic number, because the mean of its divisors is an integer number (82865790).

Almost surely, 22492240300 is an apocalyptic number.

2492240300 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 2492240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983168440).

2492240300 is an abundant number, since it is smaller than the sum of its proper divisors (3474096580).

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

2492240300 is a wasteful number, since it uses less digits than its factorization.

2492240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25571 (or 25564 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 2492240300 is about 49922.3426934274. The cubic root of 2492240300 is about 1355.8031485344.

The spelling of 2492240300 in words is "two billion, four hundred ninety-two million, two hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 220 275 356 445 550 890 979 1100 1780 1958 2225 3916 4450 4895 8900 9790 19580 24475 25457 48950 50914 97900 101828 127285 254570 280027 509140 560054 636425 1120108 1272850 1400135 2265673 2545700 2800270 4531346 5600540 7000675 9062692 11328365 14001350 22656730 24922403 28002700 45313460 49844806 56641825 99689612 113283650 124612015 226567300 249224030 498448060 623060075 1246120150 2492240300