Search a number
-
+
86918656 = 291122361
BaseRepresentation
bin1010010111001…
…00011000000000
320001112220222111
411023210120000
5134222344111
612342545104
72103540106
oct513443000
9201486874
1086918656
1145077300
1225138194
1315013576
14b787c76
15796da21
hex52e4600

86918656 has 120 divisors (see below), whose sum is σ = 202455792. Its totient is φ = 37171200.

The previous prime is 86918653. The next prime is 86918669. The reversal of 86918656 is 65681968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86918653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1424866 + ... + 1424926.

Almost surely, 286918656 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 86918656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101227896).

86918656 is an abundant number, since it is smaller than the sum of its proper divisors (115537136).

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

86918656 is a wasteful number, since it uses less digits than its factorization.

86918656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its digits is 622080, while the sum is 49.

The square root of 86918656 is about 9323.0175372569. The cubic root of 86918656 is about 442.9666198201.

The spelling of 86918656 in words is "eighty-six million, nine hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 61 64 88 92 121 122 128 176 184 242 244 253 256 352 368 484 488 506 512 671 704 736 968 976 1012 1342 1403 1408 1472 1936 1952 2024 2684 2783 2806 2816 2944 3872 3904 4048 5368 5566 5612 5632 5888 7381 7744 7808 8096 10736 11132 11224 11776 14762 15433 15488 15616 16192 21472 22264 22448 29524 30866 30976 31232 32384 42944 44528 44896 59048 61732 61952 64768 85888 89056 89792 118096 123464 129536 169763 171776 178112 179584 236192 246928 339526 343552 356224 359168 472384 493856 679052 712448 718336 944768 987712 1358104 1424896 1889536 1975424 2716208 3779072 3950848 5432416 7901696 10864832 21729664 43459328 86918656