Search a number
-
+
8861472 = 2532291061
BaseRepresentation
bin100001110011…
…011100100000
3121200012122200
4201303130200
54232031342
6513533200
7135215124
oct41633440
917605580
108861472
115002834
122b74200
131ab3599
141269584
15ba094c
hex873720

8861472 has 72 divisors (see below), whose sum is σ = 26093340. Its totient is φ = 2849280.

The previous prime is 8861423. The next prime is 8861473. The reversal of 8861472 is 2741688.

It can be written as a sum of positive squares in 2 ways, for example, as 8785296 + 76176 = 2964^2 + 276^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (8861473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7822 + ... + 8882.

Almost surely, 28861472 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 8861472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13046670).

8861472 is an abundant number, since it is smaller than the sum of its proper divisors (17231868).

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

8861472 is a wasteful number, since it uses less digits than its factorization.

8861472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1095 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 8861472 is about 2976.8224669940. The cubic root of 8861472 is about 206.9356377650.

The spelling of 8861472 in words is "eight million, eight hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1061 1392 2088 2122 2784 3183 4176 4244 6366 8352 8488 9549 12732 16976 19098 25464 30769 33952 38196 50928 61538 76392 92307 101856 123076 152784 184614 246152 276921 305568 369228 492304 553842 738456 984608 1107684 1476912 2215368 2953824 4430736 8861472