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86461656 = 23353101673
BaseRepresentation
bin1010010011101…
…00110011011000
320000200201002120
411021310303120
5134113233111
612325101240
72066624541
oct511646330
9200621076
1086461656
1144894a16
1224b57820
1314bb3558
14b6a94c8
1578cd406
hex5274cd8

86461656 has 64 divisors (see below), whose sum is σ = 222743520. Its totient is φ = 27955200.

The previous prime is 86461619. The next prime is 86461657. The reversal of 86461656 is 65616468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86461657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128136 + ... + 128808.

Almost surely, 286461656 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 86461656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111371760).

86461656 is an abundant number, since it is smaller than the sum of its proper divisors (136281864).

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

86461656 is a wasteful number, since it uses less digits than its factorization.

86461656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 86461656 is about 9298.4760041633. The cubic root of 86461656 is about 442.1889134651.

The spelling of 86461656 in words is "eighty-six million, four hundred sixty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 53 101 106 159 202 212 303 318 404 424 606 636 673 808 1212 1272 1346 2019 2424 2692 4038 5353 5384 8076 10706 16059 16152 21412 32118 35669 42824 64236 67973 71338 107007 128472 135946 142676 203919 214014 271892 285352 407838 428028 543784 815676 856056 1631352 3602569 7205138 10807707 14410276 21615414 28820552 43230828 86461656