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5044052400 = 243525379309
BaseRepresentation
bin1001011001010011…
…00010000110110000
3111000112021102002120
410230221202012300
540312234134100
62152303314240
7235665511062
oct45451420660
914015242076
105044052400
112159266252
12b892ab980
13625013aba
1435bc8b732
151e7c590a0
hex12ca621b0

5044052400 has 120 divisors (see below), whose sum is σ = 16462852560. Its totient is φ = 1319685120.

The previous prime is 5044052383. The next prime is 5044052509. The reversal of 5044052400 is 42504405.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×50440524002 = 50884929227891520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 23946 + ... + 103254.

It is an arithmetic number, because the mean of its divisors is an integer number (137190438).

Almost surely, 25044052400 is an apocalyptic number.

5044052400 is a gapful number since it is divisible by the number (50) 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 5044052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8231426280).

5044052400 is an abundant number, since it is smaller than the sum of its proper divisors (11418800160).

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

5044052400 is a wasteful number, since it uses less digits than its factorization.

5044052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79383 (or 79372 counting only the distinct ones).

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

The square root of 5044052400 is about 71021.4925216304. The cubic root of 5044052400 is about 1714.9831729459.

Adding to 5044052400 its reverse (42504405), we get a palindrome (5086556805).

The spelling of 5044052400 in words is "five billion, forty-four million, fifty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 53 60 75 80 100 106 120 150 159 200 212 240 265 300 318 400 424 530 600 636 795 848 1060 1200 1272 1325 1590 2120 2544 2650 3180 3975 4240 5300 6360 7950 10600 12720 15900 21200 31800 63600 79309 158618 237927 317236 396545 475854 634472 793090 951708 1189635 1268944 1586180 1903416 1982725 2379270 3172360 3806832 3965450 4203377 4758540 5948175 6344720 7930900 8406754 9517080 11896350 12610131 15861800 16813508 19034160 21016885 23792700 25220262 31723600 33627016 42033770 47585400 50440524 63050655 67254032 84067540 95170800 100881048 105084425 126101310 168135080 201762096 210168850 252202620 315253275 336270160 420337700 504405240 630506550 840675400 1008810480 1261013100 1681350800 2522026200 5044052400