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5251411400 = 2352102125717
BaseRepresentation
bin1001110010000001…
…00010110111001000
3111112222110100011112
410321000202313020
541223330131100
62225031545452
7244064155214
oct47100426710
914488410145
105251411400
112255315124
12102682b288
13658c76831
1437b627944
1520b068b35
hex139022dc8

5251411400 has 48 divisors (see below), whose sum is σ = 12221965140. Its totient is φ = 2098425600.

The previous prime is 5251411397. The next prime is 5251411427. The reversal of 5251411400 is 41141525.

It can be written as a sum of positive squares in 6 ways, for example, as 2356325764 + 2895085636 = 48542^2 + 53806^2 .

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 11 ways as a sum of consecutive naturals, for example, 191342 + ... + 217058.

Almost surely, 25251411400 is an apocalyptic number.

5251411400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5251411400 is an abundant number, since it is smaller than the sum of its proper divisors (6970553740).

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

5251411400 is a wasteful number, since it uses less digits than its factorization.

5251411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26754 (or 26745 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 5251411400 is about 72466.6226617468. The cubic root of 5251411400 is about 1738.1690565520.

Adding to 5251411400 its reverse (41141525), we get a palindrome (5292552925).

The spelling of 5251411400 in words is "five billion, two hundred fifty-one million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1021 2042 4084 5105 8168 10210 20420 25525 25717 40840 51050 51434 102100 102868 128585 204200 205736 257170 514340 642925 1028680 1285850 2571700 5143400 26257057 52514114 105028228 131285285 210056456 262570570 525141140 656426425 1050282280 1312852850 2625705700 5251411400