Search a number
-
+
84747042 = 23223277739
BaseRepresentation
bin1010000110100…
…10001100100010
312220110121002100
411003102030202
5133143401132
612224231230
72046223632
oct503221442
9186417070
1084747042
1143923786
122446b516
1314732ca3
14b3806c2
15769037c
hex50d2322

84747042 has 48 divisors (see below), whose sum is σ = 192553920. Its totient is φ = 26886816.

The previous prime is 84747037. The next prime is 84747059. The reversal of 84747042 is 24074748.

It is a super-2 number, since 2×847470422 = 14364122255499528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84746988 and 84747006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114309 + ... + 115047.

It is an arithmetic number, because the mean of its divisors is an integer number (4011540).

Almost surely, 284747042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84747042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96276960).

84747042 is an abundant number, since it is smaller than the sum of its proper divisors (107806878).

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

84747042 is a wasteful number, since it uses less digits than its factorization.

84747042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 84747042 is about 9205.8156618520. The cubic root of 84747042 is about 439.2463717747.

The spelling of 84747042 in words is "eighty-four million, seven hundred forty-seven thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 277 414 554 739 831 1478 1662 2217 2493 4434 4986 6371 6651 12742 13302 16997 19113 33994 38226 50991 57339 101982 114678 152973 204703 305946 409406 614109 1228218 1842327 3684654 4708169 9416338 14124507 28249014 42373521 84747042