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4944883464 = 233453143981
BaseRepresentation
bin1001001101011110…
…01110111100001000
3110202121200002220000
410212233032330020
540111342232324
62134402003000
7233352546603
oct44657167410
913677602800
104944883464
112108292154
12b60046460
1360a601661
1434ca3533a
151de1ba9c9
hex126bcef08

4944883464 has 80 divisors (see below), whose sum is σ = 14111675820. Its totient is φ = 1617183360.

The previous prime is 4944883453. The next prime is 4944883469. The reversal of 4944883464 is 4643884494.

It can be written as a sum of positive squares in 2 ways, for example, as 4839984900 + 104898564 = 69570^2 + 10242^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4944883464.

It is not an unprimeable number, because it can be changed into a prime (4944883469) 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 19 ways as a sum of consecutive naturals, for example, 37647 + ... + 106334.

Almost surely, 24944883464 is an apocalyptic number.

It is an amenable number.

4944883464 is an abundant number, since it is smaller than the sum of its proper divisors (9166792356).

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

4944883464 is a wasteful number, since it uses less digits than its factorization.

4944883464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144052 (or 144039 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The square root of 4944883464 is about 70319.8653582329. The cubic root of 4944883464 is about 1703.6695203176.

The spelling of 4944883464 in words is "four billion, nine hundred forty-four million, eight hundred eighty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3816 4293 5724 8586 11448 17172 34344 143981 287962 431943 575924 863886 1151848 1295829 1727772 2591658 3455544 3887487 5183316 7630993 7774974 10366632 11662461 15261986 15549948 22892979 23324922 30523972 31099896 45785958 46649844 61047944 68678937 91571916 93299688 137357874 183143832 206036811 274715748 412073622 549431496 618110433 824147244 1236220866 1648294488 2472441732 4944883464