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2446728540 = 223540778809
BaseRepresentation
bin1001000111010110…
…0001110101011100
320022111221200120120
42101311201311130
520002330303130
61042441514540
7114426564234
oct22165416534
96274850516
102446728540
111046129403
125834a2a50
132ccb99c89
14192d44cc4
15e4c06910
hex91d61d5c

2446728540 has 24 divisors (see below), whose sum is σ = 6850840080. Its totient is φ = 652460928.

The previous prime is 2446728481. The next prime is 2446728551. The reversal of 2446728540 is 458276442.

It is a happy number.

2446728540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2446728492 and 2446728501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20389345 + ... + 20389464.

It is an arithmetic number, because the mean of its divisors is an integer number (285451670).

Almost surely, 22446728540 is an apocalyptic number.

2446728540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2446728540 is an abundant number, since it is smaller than the sum of its proper divisors (4404111540).

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

2446728540 is a wasteful number, since it uses less digits than its factorization.

2446728540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40778821 (or 40778819 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 2446728540 is about 49464.4169075104. The cubic root of 2446728540 is about 1347.4994480030.

The spelling of 2446728540 in words is "two billion, four hundred forty-six million, seven hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 40778809 81557618 122336427 163115236 203894045 244672854 407788090 489345708 611682135 815576180 1223364270 2446728540