Search a number
-
+
4692975000 = 23355721277
BaseRepresentation
bin1000101111011100…
…10001110110011000
3110010001122211102220
410113232101312120
534102400200000
62053402424040
7224203425600
oct42756216630
913101584386
104692975000
111a9907563a
12aab802020
1359a3713ac
143273bdc00
151c700b1a0
hex117b91d98

4692975000 has 288 divisors, whose sum is σ = 17072188560. Its totient is φ = 1071840000.

The previous prime is 4692974927. The next prime is 4692975101. The reversal of 4692975000 is 5792964.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 71 ways as a sum of consecutive naturals, for example, 3674362 + ... + 3675638.

Almost surely, 24692975000 is an apocalyptic number.

4692975000 is a gapful number since it is divisible by the number (40) 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 4692975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8536094280).

4692975000 is an abundant number, since it is smaller than the sum of its proper divisors (12379213560).

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

4692975000 is a wasteful number, since it uses less digits than its factorization.

4692975000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 4692975000 is about 68505.2917664030. The cubic root of 4692975000 is about 1674.2337030923.

The spelling of 4692975000 in words is "four billion, six hundred ninety-two million, nine hundred seventy-five thousand".