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5337400400 = 245218173721
BaseRepresentation
bin1001111100010001…
…00100010001010000
3111202222021000220022
410332020210101100
541412333303100
62241343003012
7246160104053
oct47610442120
914688230808
105337400400
112299906a12
12104b599468
13670a22bb7
14388c0ca9a
152138a1e85
hex13e224450

5337400400 has 60 divisors (see below), whose sum is σ = 12894125244. Its totient is φ = 2123136000.

The previous prime is 5337400361. The next prime is 5337400403. The reversal of 5337400400 is 40047335.

It can be written as a sum of positive squares in 6 ways, for example, as 1771399744 + 3566000656 = 42088^2 + 59716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5337400400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5337400403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35540 + ... + 109260.

Almost surely, 25337400400 is an apocalyptic number.

5337400400 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 5337400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447062622).

5337400400 is an abundant number, since it is smaller than the sum of its proper divisors (7556724844).

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

5337400400 is a wasteful number, since it uses less digits than its factorization.

5337400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73920 (or 73909 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 5337400400 is about 73057.5143294651. The cubic root of 5337400400 is about 1747.6049303790.

Adding to 5337400400 its reverse (40047335), we get a palindrome (5377447735).

The spelling of 5337400400 in words is "five billion, three hundred thirty-seven million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 181 200 362 400 724 905 1448 1810 2896 3620 4525 7240 9050 14480 18100 36200 72400 73721 147442 294884 368605 589768 737210 1179536 1474420 1843025 2948840 3686050 5897680 7372100 13343501 14744200 26687002 29488400 53374004 66717505 106748008 133435010 213496016 266870020 333587525 533740040 667175050 1067480080 1334350100 2668700200 5337400400