Search a number
-
+
86924682 = 232132331521
BaseRepresentation
bin1010010111001…
…01110110001010
320001120020020200
411023211312022
5134223042212
612343033030
72103563505
oct513456612
9201506220
1086924682
1145080889
122513b776
1315016230
14b78a13c
1579706dc
hex52e5d8a

86924682 has 96 divisors (see below), whose sum is σ = 218889216. Its totient is φ = 24710400.

The previous prime is 86924681. The next prime is 86924693. The reversal of 86924682 is 28642968.

It is a super-2 number, since 2×869246822 = 15111800681602248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86924681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166582 + ... + 167102.

It is an arithmetic number, because the mean of its divisors is an integer number (2280096).

Almost surely, 286924682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86924682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109444608).

86924682 is an abundant number, since it is smaller than the sum of its proper divisors (131964534).

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

86924682 is a wasteful number, since it uses less digits than its factorization.

86924682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 593 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 86924682 is about 9323.3407102819. The cubic root of 86924682 is about 442.9768564225.

The spelling of 86924682 in words is "eighty-six million, nine hundred twenty-four thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 23 26 31 39 46 62 69 78 93 117 138 186 207 234 279 299 403 414 521 558 598 713 806 897 1042 1209 1426 1563 1794 2139 2418 2691 3126 3627 4278 4689 5382 6417 6773 7254 9269 9378 11983 12834 13546 16151 18538 20319 23966 27807 32302 35949 40638 48453 55614 60957 71898 83421 96906 107847 121914 145359 155779 166842 209963 215694 290718 311558 371473 419926 467337 629889 742946 934674 1114419 1259778 1402011 1889667 2228838 2804022 3343257 3779334 4829149 6686514 9658298 14487447 28974894 43462341 86924682