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5429239200 = 25325272111399
BaseRepresentation
bin1010000111001101…
…11001110110100000
3112000101001221001100
411003212321312200
542104341123300
62254423234400
7251353525500
oct50346716640
915011057040
105429239200
112336733850
1210762a8a00
13686a69a98
143970b7a00
1521b993700
hex1439b9da0

5429239200 has 648 divisors, whose sum is σ = 24312506400. Its totient is φ = 1127347200.

The previous prime is 5429239199. The next prime is 5429239237. The reversal of 5429239200 is 29329245.

5429239200 is a `hidden beast` number, since 5 + 429 + 23 + 9 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3880101 + ... + 3881499.

It is an arithmetic number, because the mean of its divisors is an integer number (37519300).

Almost surely, 25429239200 is an apocalyptic number.

5429239200 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 5429239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156253200).

5429239200 is an abundant number, since it is smaller than the sum of its proper divisors (18883267200).

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

5429239200 is a wasteful number, since it uses less digits than its factorization.

5429239200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1427 counting only the distinct ones).

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

The square root of 5429239200 is about 73683.3712583782. The cubic root of 5429239200 is about 1757.5714611240.

The spelling of 5429239200 in words is "five billion, four hundred twenty-nine million, two hundred thirty-nine thousand, two hundred".