[go: up one dir, main page]

Search a number
-
+
3648000528 = 243225333337
BaseRepresentation
bin1101100101110000…
…0001001000010000
3100102020100121221200
43121130001020100
524432342004103
61401553151200
7156254331024
oct33134011020
910366317850
103648000528
111602223877
1285985b500
13461a183c3
142686c6384
151653e40a3
hexd9701210

3648000528 has 30 divisors (see below), whose sum is σ = 10209335214. Its totient is φ = 1216000128.

The previous prime is 3648000511. The next prime is 3648000553. The reversal of 3648000528 is 8250008463.

3648000528 is a `hidden beast` number, since 3 + 648 + 0 + 0 + 0 + 5 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3594242304 + 53758224 = 59952^2 + 7332^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3648000492 and 3648000501.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 12666525 + ... + 12666812.

Almost surely, 23648000528 is an apocalyptic number.

It is an amenable number.

3648000528 is an abundant number, since it is smaller than the sum of its proper divisors (6561334686).

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

3648000528 is a wasteful number, since it uses less digits than its factorization.

3648000528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25333351 (or 25333342 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3648000528 is about 60398.6798531226. The cubic root of 3648000528 is about 1539.4005267800.

The spelling of 3648000528 in words is "three billion, six hundred forty-eight million, five hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 25333337 50666674 76000011 101333348 152000022 202666696 228000033 304000044 405333392 456000066 608000088 912000132 1216000176 1824000264 3648000528