Search a number
-
+
5575289040 = 243257743457
BaseRepresentation
bin1010011000101000…
…00010100011010000
3112101112220000202200
411030110002203100
542404233222130
62321121443200
7255106113666
oct51424024320
915345800680
105575289040
1124011181a2
1210b71a0500
136ab0b49c9
143ac654c36
152296e2760
hex14c5028d0

5575289040 has 60 divisors (see below), whose sum is σ = 18723681444. Its totient is φ = 1486743552.

The previous prime is 5575289021. The next prime is 5575289047. The reversal of 5575289040 is 409825755.

5575289040 is a `hidden beast` number, since 557 + 5 + 2 + 8 + 90 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1513521216 + 4061767824 = 38904^2 + 63732^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5575289047) 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 11 ways as a sum of consecutive naturals, for example, 3871009 + ... + 3872448.

Almost surely, 25575289040 is an apocalyptic number.

It is an amenable number.

5575289040 is an abundant number, since it is smaller than the sum of its proper divisors (13148392404).

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

5575289040 is a wasteful number, since it uses less digits than its factorization.

5575289040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743476 (or 7743467 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5575289040 is about 74667.8581452555. The cubic root of 5575289040 is about 1773.1921329650.

The spelling of 5575289040 in words is "five billion, five hundred seventy-five million, two hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 7743457 15486914 23230371 30973828 38717285 46460742 61947656 69691113 77434570 92921484 116151855 123895312 139382226 154869140 185842968 232303710 278764452 309738280 348455565 371685936 464607420 557528904 619476560 696911130 929214840 1115057808 1393822260 1858429680 2787644520 5575289040