Search a number
-
+
86047744 = 210174943
BaseRepresentation
bin1010010000011…
…11110000000000
312222220200022111
411020033300000
5134012011434
612312145104
72063252026
oct510176000
9188820274
1086047744
1144631a42
1224998194
1314a9a033
14b5dc716
15784a964
hex520fc00

86047744 has 44 divisors (see below), whose sum is σ = 182166624. Its totient is φ = 40484864.

The previous prime is 86047739. The next prime is 86047757. The reversal of 86047744 is 44774068.

It is a junction number, because it is equal to n+sod(n) for n = 86047697 and 86047706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14937 + ... + 19879.

Almost surely, 286047744 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 86047744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91083312).

86047744 is an abundant number, since it is smaller than the sum of its proper divisors (96118880).

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

86047744 is a wasteful number, since it uses less digits than its factorization.

86047744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The square root of 86047744 is about 9276.1923222840. The cubic root of 86047744 is about 441.4821641768.

The spelling of 86047744 in words is "eighty-six million, forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2176 4352 4943 8704 9886 17408 19772 39544 79088 84031 158176 168062 316352 336124 632704 672248 1265408 1344496 2530816 2688992 5061632 5377984 10755968 21511936 43023872 86047744