Search a number
-
+
867048552 = 233217241669
BaseRepresentation
bin110011101011100…
…001110001101000
32020102111122000100
4303223201301220
53233431023202
6222011505400
730325535226
oct6353416150
92212448010
10867048552
11405476457
12202458260
1310a82a1a6
148321db16
15511bd41c
hex33ae1c68

867048552 has 72 divisors (see below), whose sum is σ = 2494574550. Its totient is φ = 272008704.

The previous prime is 867048551. The next prime is 867048557. The reversal of 867048552 is 255840768.

867048552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 795578436 + 71470116 = 28206^2 + 8454^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 867048498 and 867048507.

It is not an unprimeable number, because it can be changed into a prime (867048551) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27 + ... + 41642.

Almost surely, 2867048552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867048552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247287275).

867048552 is an abundant number, since it is smaller than the sum of its proper divisors (1627525998).

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

867048552 is a wasteful number, since it uses less digits than its factorization.

867048552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41715 (or 41691 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 867048552 is about 29445.6881733133. The cubic root of 867048552 is about 953.5595187095.

The spelling of 867048552 in words is "eight hundred sixty-seven million, forty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 10404 20808 41669 83338 125007 166676 250014 333352 375021 500028 708373 750042 1000056 1416746 1500084 2125119 2833492 3000168 4250238 5666984 6375357 8500476 12042341 12750714 17000952 24084682 25501428 36127023 48169364 51002856 72254046 96338728 108381069 144508092 216762138 289016184 433524276 867048552