Search a number
-
+
4587064240 = 245115212573
BaseRepresentation
bin1000100010110100…
…10000101110110000
3102211200101000012011
410101122100232300
533343242023430
62035100412304
7221446255063
oct42132205660
912750330164
104587064240
111a44307290
12a80247094
1358143b3c5
143172d08da
151bca8a22a
hex111690bb0

4587064240 has 40 divisors (see below), whose sum is σ = 11634465168. Its totient is φ = 1668023040.

The previous prime is 4587064187. The next prime is 4587064247. The reversal of 4587064240 is 424607854.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4587064193 and 4587064202.

It is not an unprimeable number, because it can be changed into a prime (4587064247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2605407 + ... + 2607166.

Almost surely, 24587064240 is an apocalyptic number.

4587064240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4587064240 is an abundant number, since it is smaller than the sum of its proper divisors (7047400928).

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

4587064240 is a wasteful number, since it uses less digits than its factorization.

4587064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212597 (or 5212591 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 4587064240 is about 67727.8690053068. The cubic root of 4587064240 is about 1661.5430854001.

The spelling of 4587064240 in words is "four billion, five hundred eighty-seven million, sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 5212573 10425146 20850292 26062865 41700584 52125730 57338303 83401168 104251460 114676606 208502920 229353212 286691515 417005840 458706424 573383030 917412848 1146766060 2293532120 4587064240