Search a number
-
+
84337950 = 23522412333
BaseRepresentation
bin1010000011011…
…10010100011110
312212200210220210
411001232110132
5133042303300
612211353250
72042601144
oct501562436
9185623823
1084337950
1143674394
12242b2826
131461ba18
14b2b5594
15760e050
hex506e51e

84337950 has 48 divisors (see below), whose sum is σ = 210116016. Its totient is φ = 22387200.

The previous prime is 84337933. The next prime is 84337997. The reversal of 84337950 is 5973348.

It is a super-2 number, since 2×843379502 = 14225779620405000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84337899 and 84337908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34984 + ... + 37316.

It is an arithmetic number, because the mean of its divisors is an integer number (4377417).

Almost surely, 284337950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84337950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105058008).

84337950 is an abundant number, since it is smaller than the sum of its proper divisors (125778066).

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

84337950 is a wasteful number, since it uses less digits than its factorization.

84337950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 84337950 is about 9183.5695674394. The cubic root of 84337950 is about 438.5384528990.

The spelling of 84337950 in words is "eighty-four million, three hundred thirty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 241 482 723 1205 1446 2333 2410 3615 4666 6025 6999 7230 11665 12050 13998 18075 23330 34995 36150 58325 69990 116650 174975 349950 562253 1124506 1686759 2811265 3373518 5622530 8433795 14056325 16867590 28112650 42168975 84337950