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86771232 = 2532319719
BaseRepresentation
bin1010010110000…
…00011000100000
320001021102202100
411023000120200
5134203134412
612335450400
72102354232
oct513003040
9201242670
1086771232
1144a86569
1225086a00
1314c91432
14b74a252
15793eedc
hex52c0620

86771232 has 72 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 27987840.

The previous prime is 86771227. The next prime is 86771239. The reversal of 86771232 is 23217768.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86771239) 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, 4069 + ... + 13787.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 286771232 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 86771232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

86771232 is an abundant number, since it is smaller than the sum of its proper divisors (167970528).

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

86771232 is a wasteful number, since it uses less digits than its factorization.

86771232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9766 (or 9755 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 86771232 is about 9315.1077288457. The cubic root of 86771232 is about 442.7160373799.

The spelling of 86771232 in words is "eighty-six million, seven hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 9719 19438 29157 38876 58314 77752 87471 116628 155504 174942 233256 301289 311008 349884 466512 602578 699768 903867 933024 1205156 1399536 1807734 2410312 2711601 2799072 3615468 4820624 5423202 7230936 9641248 10846404 14461872 21692808 28923744 43385616 86771232