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4986938400 = 253522077891
BaseRepresentation
bin1001010010011111…
…01010010000100000
3110212112210201102020
410221033222100200
540203124012100
62142503221440
7234403164003
oct45117522040
913775721366
104986938400
112129aa66a4
12b72147880
13616237632
1435446153a
151e2c265a0
hex1293ea420

4986938400 has 72 divisors (see below), whose sum is σ = 16232492304. Its totient is φ = 1329849600.

The previous prime is 4986938351. The next prime is 4986938401. The reversal of 4986938400 is 48396894.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4986938401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1036546 + ... + 1041345.

It is an arithmetic number, because the mean of its divisors is an integer number (225451282).

Almost surely, 24986938400 is an apocalyptic number.

4986938400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4986938400 is an abundant number, since it is smaller than the sum of its proper divisors (11245553904).

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

4986938400 is a wasteful number, since it uses less digits than its factorization.

4986938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077914 (or 2077901 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 4986938400 is about 70618.2582622936. The cubic root of 4986938400 is about 1708.4856467539.

The spelling of 4986938400 in words is "four billion, nine hundred eighty-six million, nine hundred thirty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 2077891 4155782 6233673 8311564 10389455 12467346 16623128 20778910 24934692 31168365 33246256 41557820 49869384 51947275 62336730 66492512 83115640 99738768 103894550 124673460 155841825 166231280 199477536 207789100 249346920 311683650 332462560 415578200 498693840 623367300 831156400 997387680 1246734600 1662312800 2493469200 4986938400