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86977692 = 22333183313
BaseRepresentation
bin1010010111100…
…10110010011100
320001122220222000
411023302302130
5134231241232
612344122300
72104204164
oct513626234
9201586860
1086977692
114510769a
1225166390
13150343b9
14b7a15a4
15798127c
hex52f2c9c

86977692 has 96 divisors (see below), whose sum is σ = 236328960. Its totient is φ = 27630720.

The previous prime is 86977679. The next prime is 86977703. The reversal of 86977692 is 29677968.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2286144) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277728 + ... + 278040.

It is an arithmetic number, because the mean of its divisors is an integer number (2461760).

Almost surely, 286977692 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 86977692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118164480).

86977692 is an abundant number, since it is smaller than the sum of its proper divisors (149351268).

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

86977692 is a wasteful number, since it uses less digits than its factorization.

86977692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 86977692 is about 9326.1831421005. The cubic root of 86977692 is about 443.0668862076.

The spelling of 86977692 in words is "eighty-six million, nine hundred seventy-seven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 83 93 108 124 166 186 249 279 313 332 372 498 558 626 747 837 939 996 1116 1252 1494 1674 1878 2241 2573 2817 2988 3348 3756 4482 5146 5634 7719 8451 8964 9703 10292 11268 15438 16902 19406 23157 25979 29109 30876 33804 38812 46314 51958 58218 69471 77937 87327 92628 103916 116436 138942 155874 174654 233811 261981 277884 311748 349308 467622 523962 701433 805349 935244 1047924 1402866 1610698 2416047 2805732 3221396 4832094 7248141 9664188 14496282 21744423 28992564 43488846 86977692