Search a number
-
+
4912888464 = 2436112592
BaseRepresentation
bin1001001001101010…
…01011101010010000
3110200101110121000000
410210311023222100
540030144412324
62131300130000
7232513601661
oct44465135220
913611417000
104912888464
1120a1219900
12b51396900
13603aab5c3
143486a7368
151db49a9c9
hex124d4ba90

4912888464 has 315 divisors, whose sum is σ = 15957300499. Its totient is φ = 1463520960.

The previous prime is 4912888399. The next prime is 4912888483. The reversal of 4912888464 is 4648882194.

It is a happy number.

The square root of 4912888464 is 70092.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4912888464.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 83269267 + ... + 83269325.

Almost surely, 24912888464 is an apocalyptic number.

4912888464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4912888464 is the 70092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4912888464

4912888464 is an abundant number, since it is smaller than the sum of its proper divisors (11044412035).

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

4912888464 is an equidigital number, since it uses as much as digits as its factorization.

4912888464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 75 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The cubic root of 4912888464 is about 1699.9871353121.

The spelling of 4912888464 in words is "four billion, nine hundred twelve million, eight hundred eighty-eight thousand, four hundred sixty-four".