[go: up one dir, main page]

Search a number
-
+
4851887040 = 2634571121317
BaseRepresentation
bin1001000010011000…
…11110101111000000
3110112010200101210000
410201030132233000
534414040341130
62121240440000
7231143234160
oct44114365700
913463611700
104851887040
11206a844600
12b34a79000
135c42708a0
143405485a0
151d5e4b260
hex12131ebc0

4851887040 has 1680 divisors, whose sum is σ = 24721937856. Its totient is φ = 875888640.

The previous prime is 4851886993. The next prime is 4851887059. The reversal of 4851887040 is 407881584.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-4 number, since 4×48518870404 (a number of 40 digits) contains 4444 as substring.

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 239 ways as a sum of consecutive naturals, for example, 285405112 + ... + 285405128.

Almost surely, 24851887040 is an apocalyptic number.

4851887040 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 4851887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12360968928).

4851887040 is an abundant number, since it is smaller than the sum of its proper divisors (19870050816).

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

4851887040 is a wasteful number, since it uses less digits than its factorization.

4851887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 4851887040 is about 69655.4882259826. The cubic root of 4851887040 is about 1692.9217853403.

The spelling of 4851887040 in words is "four billion, eight hundred fifty-one million, eight hundred eighty-seven thousand, forty".