Search a number
-
+
4865192640 = 2633571171103
BaseRepresentation
bin1001000011111110…
…01111001011000000
3110120001201101122000
410201333033023000
534430442131030
62122433544000
7231364312050
oct44177171300
913501641560
104865192640
112077302270
12b39415000
135c6c4bc19
1434220d560
151d71c8860
hex121fcf2c0

4865192640 has 896 divisors, whose sum is σ = 21910487040. Its totient is φ = 987033600.

The previous prime is 4865192623. The next prime is 4865192663. The reversal of 4865192640 is 462915684.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47234829 + ... + 47234931.

Almost surely, 24865192640 is an apocalyptic number.

4865192640 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 4865192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955243520).

4865192640 is an abundant number, since it is smaller than the sum of its proper divisors (17045294400).

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

4865192640 is a wasteful number, since it uses less digits than its factorization.

4865192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4865192640 is about 69750.9328969871. The cubic root of 4865192640 is about 1694.4679040912.

The spelling of 4865192640 in words is "four billion, eight hundred sixty-five million, one hundred ninety-two thousand, six hundred forty".