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5088206700 = 2233523123753
BaseRepresentation
bin1001011110100011…
…11101111101101100
3111010121100200102000
410233101331331230
540410040103300
62200521532300
7240043020603
oct45721757554
914117320360
105088206700
112181184005
12ba0044090
136312034c5
14363aa2a3a
151eba7bc00
hex12f47df6c

5088206700 has 432 divisors, whose sum is σ = 17686680480. Its totient is φ = 1253491200.

The previous prime is 5088206621. The next prime is 5088206749. The reversal of 5088206700 is 76028805.

5088206700 is a `hidden beast` number, since 508 + 82 + 0 + 6 + 70 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 96003874 + ... + 96003926.

It is an arithmetic number, because the mean of its divisors is an integer number (40941390).

Almost surely, 25088206700 is an apocalyptic number.

5088206700 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 5088206700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843340240).

5088206700 is an abundant number, since it is smaller than the sum of its proper divisors (12598473780).

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

5088206700 is a wasteful number, since it uses less digits than its factorization.

5088206700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5088206700 is about 71331.6668808461. Note that the first 3 decimals coincide. The cubic root of 5088206700 is about 1719.9728114505.

The spelling of 5088206700 in words is "five billion, eighty-eight million, two hundred six thousand, seven hundred".