Search a number
-
+
84488520 = 23351016971
BaseRepresentation
bin1010000100100…
…11000101001000
312212222110110110
411002103011020
5133112113040
612214514320
72044066134
oct502230510
9185873413
1084488520
1143767526
12243659a0
131467240c
14b3143c4
15763d980
hex5093148

84488520 has 64 divisors (see below), whose sum is σ = 256011840. Its totient is φ = 22304000.

The previous prime is 84488479. The next prime is 84488527. The reversal of 84488520 is 2588448.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (84488527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8635 + ... + 15605.

It is an arithmetic number, because the mean of its divisors is an integer number (4000185).

Almost surely, 284488520 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 84488520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128005920).

84488520 is an abundant number, since it is smaller than the sum of its proper divisors (171523320).

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

84488520 is a wasteful number, since it uses less digits than its factorization.

84488520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 84488520 is about 9191.7637045346. The cubic root of 84488520 is about 438.7992745043.

The spelling of 84488520 in words is "eighty-four million, four hundred eighty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 6971 12120 13942 20913 27884 34855 41826 55768 69710 83652 104565 139420 167304 209130 278840 418260 704071 836520 1408142 2112213 2816284 3520355 4224426 5632568 7040710 8448852 10561065 14081420 16897704 21122130 28162840 42244260 84488520