Search a number
-
+
86423904 = 25327163263
BaseRepresentation
bin1010010011010…
…11100101100000
320000121210022100
411021223211200
5134111031104
612324210400
72066406510
oct511534540
9200553270
1086423904
1144869616
1224b39a00
1314b9c308
14b699840
1578c2139
hex526b960

86423904 has 144 divisors (see below), whose sum is σ = 283675392. Its totient is φ = 24447744.

The previous prime is 86423899. The next prime is 86423923. The reversal of 86423904 is 40932468.

It is a happy number.

86423904 is a `hidden beast` number, since 8 + 642 + 3 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 328477 + ... + 328739.

It is an arithmetic number, because the mean of its divisors is an integer number (1969968).

Almost surely, 286423904 is an apocalyptic number.

86423904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86423904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141837696).

86423904 is an abundant number, since it is smaller than the sum of its proper divisors (197251488).

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

86423904 is a wasteful number, since it uses less digits than its factorization.

86423904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86423904 is about 9296.4457724444. The cubic root of 86423904 is about 442.1245460261.

The spelling of 86423904 in words is "eighty-six million, four hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 163 168 224 252 263 288 326 336 489 504 526 652 672 789 978 1008 1052 1141 1304 1467 1578 1841 1956 2016 2104 2282 2367 2608 2934 3156 3423 3682 3912 4208 4564 4734 5216 5523 5868 6312 6846 7364 7824 8416 9128 9468 10269 11046 11736 12624 13692 14728 15648 16569 18256 18936 20538 22092 23472 25248 27384 29456 33138 36512 37872 41076 42869 44184 46944 54768 58912 66276 75744 82152 85738 88368 109536 128607 132552 164304 171476 176736 257214 265104 300083 328608 342952 385821 514428 530208 600166 685904 771642 900249 1028856 1200332 1371808 1543284 1800498 2057712 2400664 2700747 3086568 3600996 4115424 4801328 5401494 6173136 7201992 9602656 10802988 12346272 14403984 21605976 28807968 43211952 86423904