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86078412 = 223271771283
BaseRepresentation
bin1010010000101…
…11001111001100
312222222020101100
411020113033030
5134014002122
612312543100
72063440320
oct510271714
9188866340
1086078412
1144652a92
12249b1a90
1314aaac94
14b609980
157854aac
hex52173cc

86078412 has 144 divisors (see below), whose sum is σ = 267950592. Its totient is φ = 22740480.

The previous prime is 86078411. The next prime is 86078431. The reversal of 86078412 is 21487068.

86078412 is a `hidden beast` number, since 8 + 607 + 8 + 41 + 2 = 666.

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 (86078411) 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 47 ways as a sum of consecutive naturals, for example, 304023 + ... + 304305.

It is an arithmetic number, because the mean of its divisors is an integer number (1860768).

Almost surely, 286078412 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 86078412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133975296).

86078412 is an abundant number, since it is smaller than the sum of its proper divisors (181872180).

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

86078412 is a wasteful number, since it uses less digits than its factorization.

86078412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 86078412 is about 9277.8452239731. The cubic root of 86078412 is about 441.5346070269.

The spelling of 86078412 in words is "eighty-six million, seventy-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 71 84 102 119 126 142 153 204 213 238 252 283 284 306 357 426 476 497 566 612 639 714 849 852 994 1071 1132 1207 1278 1428 1491 1698 1981 1988 2142 2414 2547 2556 2982 3396 3621 3962 4284 4473 4811 4828 5094 5943 5964 7242 7924 8449 8946 9622 10188 10863 11886 14433 14484 16898 17829 17892 19244 20093 21726 23772 25347 28866 33677 33796 35658 40186 43299 43452 50694 57732 60279 67354 71316 76041 80372 86598 101031 101388 120558 134708 140651 152082 173196 180837 202062 241116 281302 303093 304164 341581 361674 404124 421953 562604 606186 683162 723348 843906 1024743 1212372 1265859 1366324 1687812 2049486 2391067 2531718 3074229 4098972 4782134 5063436 6148458 7173201 9564268 12296916 14346402 21519603 28692804 43039206 86078412