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86439936 = 2113111279
BaseRepresentation
bin1010010011011…
…11100000000000
320000122121022010
411021233200000
5134112034221
612324412520
72066504322
oct511574000
9200577263
1086439936
114487a670
1224b47140
1314ba66bb
14b6a1612
1578c6c76
hex526f800

86439936 has 96 divisors (see below), whose sum is σ = 251596800. Its totient is φ = 26173440.

The previous prime is 86439919. The next prime is 86439937. The reversal of 86439936 is 63993468.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86439937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66945 + ... + 68223.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 286439936 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 86439936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

86439936 is an abundant number, since it is smaller than the sum of its proper divisors (165156864).

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

86439936 is a wasteful number, since it uses less digits than its factorization.

86439936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1295 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 86439936 is about 9297.3079974797. The cubic root of 86439936 is about 442.1518829940.

The spelling of 86439936 in words is "eighty-six million, four hundred thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1279 1408 1536 2048 2112 2558 2816 3072 3837 4224 5116 5632 6144 7674 8448 10232 11264 14069 15348 16896 20464 22528 28138 30696 33792 40928 42207 56276 61392 67584 81856 84414 112552 122784 163712 168828 225104 245568 327424 337656 450208 491136 654848 675312 900416 982272 1309696 1350624 1800832 1964544 2619392 2701248 3601664 3929088 5402496 7203328 7858176 10804992 14406656 21609984 28813312 43219968 86439936