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1146054944 = 25293473559
BaseRepresentation
bin100010001001111…
…0110100100100000
32221212111121211102
41010103312210200
54321342224234
6305415533532
740254210026
oct10423664440
92855447742
101146054944
11538a11051
1227b98a2a8
13153587528
14ac2ca716
156a931c7e
hex444f6920

1146054944 has 48 divisors (see below), whose sum is σ = 2341483200. Its totient is φ = 551518464.

The previous prime is 1146054937. The next prime is 1146054947. The reversal of 1146054944 is 4494506411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1146054898 and 1146054907.

It is not an unprimeable number, because it can be changed into a prime (1146054947) 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, 320237 + ... + 323795.

It is an arithmetic number, because the mean of its divisors is an integer number (48780900).

Almost surely, 21146054944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146054944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170741600).

1146054944 is an abundant number, since it is smaller than the sum of its proper divisors (1195428256).

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

1146054944 is a wasteful number, since it uses less digits than its factorization.

1146054944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 1146054944 is about 33853.4332675432. The cubic root of 1146054944 is about 1046.4901533831.

The spelling of 1146054944 in words is "one billion, one hundred forty-six million, fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 347 464 694 928 1388 2776 3559 5552 7118 10063 11104 14236 20126 28472 40252 56944 80504 103211 113888 161008 206422 322016 412844 825688 1234973 1651376 2469946 3302752 4939892 9879784 19759568 35814217 39519136 71628434 143256868 286513736 573027472 1146054944