Search a number
-
+
2054246304 = 253111945309
BaseRepresentation
bin111101001110001…
…0100111110100000
312022011102112011110
41322130110332200
513201341340204
6535501343320
7101622543165
oct17234247640
95264375143
102054246304
11964628720
12493b67b40
1326978b476
14156b7a06c
15c052a889
hex7a714fa0

2054246304 has 48 divisors (see below), whose sum is σ = 5882617440. Its totient is φ = 622498560.

The previous prime is 2054246303. The next prime is 2054246333. The reversal of 2054246304 is 4036424502.

2054246304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2054246303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971599 + ... + 973710.

It is an arithmetic number, because the mean of its divisors is an integer number (122554530).

Almost surely, 22054246304 is an apocalyptic number.

2054246304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2054246304 is an abundant number, since it is smaller than the sum of its proper divisors (3828371136).

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

2054246304 is a wasteful number, since it uses less digits than its factorization.

2054246304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945333 (or 1945325 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2054246304 is about 45323.7940159471. The cubic root of 2054246304 is about 1271.2105975766.

The spelling of 2054246304 in words is "two billion, fifty-four million, two hundred forty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1945309 3890618 5835927 7781236 11671854 15562472 21398399 23343708 31124944 42796798 46687416 62249888 64195197 85593596 93374832 128390394 171187192 186749664 256780788 342374384 513561576 684748768 1027123152 2054246304