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5349493800 = 23335271371033
BaseRepresentation
bin1001111101101101…
…01100110000101000
3111210211000102221000
410332312230300220
541423432300200
62242454115000
7246364642560
oct47666546050
914724012830
105349493800
1122a5716962
12105364ba60
13673398561
1438a679da0
15214990300
hex13edacc28

5349493800 has 384 divisors, whose sum is σ = 21232569600. Its totient is φ = 1212641280.

The previous prime is 5349493777. The next prime is 5349493829. The reversal of 5349493800 is 83949435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5178084 + ... + 5179116.

It is an arithmetic number, because the mean of its divisors is an integer number (55293150).

Almost surely, 25349493800 is an apocalyptic number.

5349493800 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 5349493800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10616284800).

5349493800 is an abundant number, since it is smaller than the sum of its proper divisors (15883075800).

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

5349493800 is a wasteful number, since it uses less digits than its factorization.

5349493800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5349493800 is about 73140.2337978216. The cubic root of 5349493800 is about 1748.9238335828.

The spelling of 5349493800 in words is "five billion, three hundred forty-nine million, four hundred ninety-three thousand, eight hundred".