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4686864 = 2437132937
BaseRepresentation
bin10001111000010000010000
322211010011120
4101320100100
52144434424
6244242240
754560220
oct21702020
98733146
104686864
112711346
1216a0380
13c813c0
148a0080
15628a79
hex478410

4686864 has 160 divisors (see below), whose sum is σ = 15832320. Its totient is φ = 1161216.

The previous prime is 4686841. The next prime is 4686881.

4686864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126654 + ... + 126690.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

Almost surely, 24686864 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 4686864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916160).

4686864 is an abundant number, since it is smaller than the sum of its proper divisors (11145456).

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

4686864 is a wasteful number, since it uses less digits than its factorization.

4686864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 4686864 is about 2164.9166265702. The cubic root of 4686864 is about 167.3506681230.

The spelling of 4686864 in words is "four million, six hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 37 39 42 48 52 56 58 74 78 84 87 91 104 111 112 116 148 156 168 174 182 203 208 222 232 259 273 296 312 336 348 364 377 406 444 464 481 518 546 592 609 624 696 728 754 777 812 888 962 1036 1073 1092 1131 1218 1392 1443 1456 1508 1554 1624 1776 1924 2072 2146 2184 2262 2436 2639 2886 3016 3108 3219 3248 3367 3848 4144 4292 4368 4524 4872 5278 5772 6032 6216 6438 6734 7511 7696 7917 8584 9048 9744 10101 10556 11544 12432 12876 13468 13949 15022 15834 17168 18096 20202 21112 22533 23088 25752 26936 27898 30044 31668 40404 41847 42224 45066 51504 53872 55796 60088 63336 80808 83694 90132 97643 111592 120176 126672 161616 167388 180264 195286 223184 292929 334776 360528 390572 585858 669552 781144 1171716 1562288 2343432 4686864