Search a number
-
+
8987952 = 243533533
BaseRepresentation
bin100010010010…
…010100110000
3121220122011010
4202102110300
54300103302
6520350520
7136252641
oct42222460
917818133
108987952
115089866
123015440
131b2901c
14129d6c8
15bc816c
hex892530

8987952 has 40 divisors (see below), whose sum is σ = 23663664. Its totient is φ = 2938624.

The previous prime is 8987947. The next prime is 8987959. The reversal of 8987952 is 2597898.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 84 + 92 + 84 + 74 + 97 + 5 + 222 .

It is not an unprimeable number, because it can be changed into a prime (8987959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778 + ... + 4310.

Almost surely, 28987952 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 8987952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11831832).

8987952 is an abundant number, since it is smaller than the sum of its proper divisors (14675712).

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

8987952 is a wasteful number, since it uses less digits than its factorization.

8987952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3591 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 8987952 is about 2997.9913275392. The cubic root of 8987952 is about 207.9155228943.

The spelling of 8987952 in words is "eight million, nine hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 3533 7066 10599 14132 21198 28264 42396 56528 84792 169584 187249 374498 561747 748996 1123494 1497992 2246988 2995984 4493976 8987952