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864081414 = 232731221219
BaseRepresentation
bin110011100000001…
…101011000000110
32020012220212212100
4303200031120012
53232201101124
6221424132530
730261366540
oct6340153006
92205825770
10864081414
1140382a179
12201467146
1310a02b7a1
1482a8a690
1550cd41c9
hex3380d606

864081414 has 48 divisors (see below), whose sum is σ = 2208660480. Its totient is φ = 238915440.

The previous prime is 864081403. The next prime is 864081443. The reversal of 864081414 is 414180468.

864081414 is a `hidden beast` number, since 8 + 640 + 8 + 1 + 4 + 1 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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, 106704 + ... + 114515.

It is an arithmetic number, because the mean of its divisors is an integer number (46013760).

Almost surely, 2864081414 is an apocalyptic number.

864081414 is an abundant number, since it is smaller than the sum of its proper divisors (1344579066).

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

864081414 is a wasteful number, since it uses less digits than its factorization.

864081414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221265 (or 221262 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 864081414 is about 29395.2617610390. The cubic root of 864081414 is about 952.4705461370.

The spelling of 864081414 in words is "eight hundred sixty-four million, eighty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 221219 442438 663657 1327314 1548533 1990971 3097066 3981942 4645599 6857789 9291198 13715578 13936797 20573367 27873594 41146734 48004523 61720101 96009046 123440202 144013569 288027138 432040707 864081414