Search a number
-
+
1949713024 = 2772578467
BaseRepresentation
bin111010000110110…
…0100001010000000
312000212201200110111
41310031210022000
512443111304044
6521245041104
766213200350
oct16415441200
95025650414
101949713024
11910620286
12464b56194
13250c1b45c
14146d28b60
15b627cb34
hex74364280

1949713024 has 64 divisors (see below), whose sum is σ = 4456877760. Its totient is φ = 832241664.

The previous prime is 1949713021. The next prime is 1949713033. The reversal of 1949713024 is 4203179491.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1949713021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226039 + ... + 234505.

It is an arithmetic number, because the mean of its divisors is an integer number (69638715).

Almost surely, 21949713024 is an apocalyptic number.

1949713024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1949713024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228438880).

1949713024 is an abundant number, since it is smaller than the sum of its proper divisors (2507164736).

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

1949713024 is an equidigital number, since it uses as much as digits as its factorization.

1949713024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8745 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 1949713024 is about 44155.5548487390. The cubic root of 1949713024 is about 1249.2716875178.

The spelling of 1949713024 in words is "one billion, nine hundred forty-nine million, seven hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 257 448 514 896 1028 1799 2056 3598 4112 7196 8224 8467 14392 16448 16934 28784 32896 33868 57568 59269 67736 115136 118538 135472 230272 237076 270944 474152 541888 948304 1083776 1896608 2176019 3793216 4352038 7586432 8704076 15232133 17408152 30464266 34816304 60928532 69632608 121857064 139265216 243714128 278530432 487428256 974856512 1949713024