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5337396400 = 2452719412447
BaseRepresentation
bin1001111100010001…
…00011010010110000
3111202222020211102011
410332020203102300
541412333141100
62241342532304
7246160056310
oct47610432260
914688224364
105337396400
112299903a06
12104b597094
13670a2112b
14388c0b440
152138a0bba
hex13e2234b0

5337396400 has 240 divisors, whose sum is σ = 15808988160. Its totient is φ = 1690675200.

The previous prime is 5337396391. The next prime is 5337396413. The reversal of 5337396400 is 46937335.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2179977 + ... + 2182423.

It is an arithmetic number, because the mean of its divisors is an integer number (65870784).

Almost surely, 25337396400 is an apocalyptic number.

5337396400 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 5337396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904494080).

5337396400 is an abundant number, since it is smaller than the sum of its proper divisors (10471591760).

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

5337396400 is a wasteful number, since it uses less digits than its factorization.

5337396400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 40.

The square root of 5337396400 is about 73057.4869537681. The cubic root of 5337396400 is about 1747.6044938106.

The spelling of 5337396400 in words is "five billion, three hundred thirty-seven million, three hundred ninety-six thousand, four hundred".