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5243990400 = 2732521116553
BaseRepresentation
bin1001110001001000…
…01111000110000000
3111112110111022110200
410320210033012000
541214430143100
62224204525200
7243644116515
oct47044170600
914473438420
105243990400
112251106670
121024250800
13657578acc
1437a65530c
1520a59ee00
hex13890f180

5243990400 has 288 divisors, whose sum is σ = 20414061720. Its totient is φ = 1271193600.

The previous prime is 5243990399. The next prime is 5243990447. The reversal of 5243990400 is 40993425.

5243990400 is a `hidden beast` number, since 5 + 243 + 9 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 308524 + ... + 325076.

Almost surely, 25243990400 is an apocalyptic number.

5243990400 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 5243990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10207030860).

5243990400 is an abundant number, since it is smaller than the sum of its proper divisors (15170071320).

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

5243990400 is a wasteful number, since it uses less digits than its factorization.

5243990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16594 (or 16574 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5243990400 is about 72415.4016767152. The cubic root of 5243990400 is about 1737.3499095719.

The spelling of 5243990400 in words is "five billion, two hundred forty-three million, nine hundred ninety thousand, four hundred".