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86212608 = 2153877
BaseRepresentation
bin1010010001110…
…00000000000000
320000020001110120
411020320000000
5134032300413
612315500240
72064536466
oct510700000
9200201416
1086212608
1144734899
1224a57680
1314b270a1
14b642836
15787e723
hex5238000

86212608 has 64 divisors (see below), whose sum is σ = 230158920. Its totient is φ = 28704768.

The previous prime is 86212601. The next prime is 86212619. The reversal of 86212608 is 80621268.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×862126082 = 14865227556323328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86212601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97866 + ... + 98742.

Almost surely, 286212608 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 86212608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115079460).

86212608 is an abundant number, since it is smaller than the sum of its proper divisors (143946312).

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

86212608 is an frugal number, since it uses more digits than its factorization.

86212608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 86212608 is about 9285.0744746609. The cubic root of 86212608 is about 441.7639382923.

It can be divided in two parts, 8621260 and 8, that added together give a palindrome (8621268).

The spelling of 86212608 in words is "eighty-six million, two hundred twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 877 1024 1536 1754 2048 2631 3072 3508 4096 5262 6144 7016 8192 10524 12288 14032 16384 21048 24576 28064 32768 42096 49152 56128 84192 98304 112256 168384 224512 336768 449024 673536 898048 1347072 1796096 2694144 3592192 5388288 7184384 10776576 14368768 21553152 28737536 43106304 86212608