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4758890960 = 24559486137
BaseRepresentation
bin1000110111010011…
…01110100111010000
3110021122200201010202
410123221232213100
534221234002320
62104115314332
7225633622445
oct43351564720
913248621122
104758890960
1120222a723a
12b098ab9a8
135aac10015
1433205b9cc
151ccbcbb75
hex11ba6e9d0

4758890960 has 20 divisors (see below), whose sum is σ = 11064421668. Its totient is φ = 1903556352.

The previous prime is 4758890947. The next prime is 4758890963. The reversal of 4758890960 is 690988574.

It can be written as a sum of positive squares in 2 ways, for example, as 1028613184 + 3730277776 = 32072^2 + 61076^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4758890896 and 4758890905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4758890963) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 29742989 + ... + 29743148.

Almost surely, 24758890960 is an apocalyptic number.

4758890960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4758890960 is an abundant number, since it is smaller than the sum of its proper divisors (6305530708).

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

4758890960 is a wasteful number, since it uses less digits than its factorization.

4758890960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59486150 (or 59486144 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The square root of 4758890960 is about 68984.7154085599. The cubic root of 4758890960 is about 1682.0358633403.

The spelling of 4758890960 in words is "four billion, seven hundred fifty-eight million, eight hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 59486137 118972274 237944548 297430685 475889096 594861370 951778192 1189722740 2379445480 4758890960