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86027472 = 24322832111
BaseRepresentation
bin1010010000010…
…10110011010000
312222212122111200
411020022303100
5134010334342
612311511200
72063135646
oct510126320
9188778450
1086027472
1144618793
1224988500
1314a90a3b
14b5d5196
15784494c
hex520acd0

86027472 has 60 divisors (see below), whose sum is σ = 241722624. Its totient is φ = 28560960.

The previous prime is 86027419. The next prime is 86027509. The reversal of 86027472 is 27472068.

86027472 is a `hidden beast` number, since 8 + 602 + 7 + 47 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39697 + ... + 41807.

Almost surely, 286027472 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 86027472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120861312).

86027472 is an abundant number, since it is smaller than the sum of its proper divisors (155695152).

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

86027472 is a wasteful number, since it uses less digits than its factorization.

86027472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 86027472 is about 9275.0995681987. The cubic root of 86027472 is about 441.4474918390.

The spelling of 86027472 in words is "eighty-six million, twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283 566 849 1132 1698 2111 2264 2547 3396 4222 4528 5094 6333 6792 8444 10188 12666 13584 16888 18999 20376 25332 33776 37998 40752 50664 75996 101328 151992 303984 597413 1194826 1792239 2389652 3584478 4779304 5376717 7168956 9558608 10753434 14337912 21506868 28675824 43013736 86027472