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4868136 = 2332713743
BaseRepresentation
bin10010100100100000101000
3100011022211100
4102210200220
52221240021
6252201400
756243550
oct22444050
910138740
104868136
112825559
121769260
131015a70
1490a160
15662626
hex4a4828

4868136 has 96 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1282176.

The previous prime is 4868131. The next prime is 4868141. The reversal of 4868136 is 6318684.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4868131) and next prime (4868141).

It is a super-3 number, since 3×48681363 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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

It is an Ulam number.

Its product of digits (27648) is a multiple of the sum of its prime divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 4868136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4868131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6181 + ... + 6923.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 24868136 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 4868136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

4868136 is an abundant number, since it is smaller than the sum of its proper divisors (11380824).

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

4868136 is a wasteful number, since it uses less digits than its factorization.

4868136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 768 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4868136 is about 2206.3852791387. The cubic root of 4868136 is about 169.4809543432.

The spelling of 4868136 in words is "four million, eight hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 743 819 936 1092 1486 1638 2184 2229 2972 3276 4458 5201 5944 6552 6687 8916 9659 10402 13374 15603 17832 19318 20804 26748 28977 31206 38636 41608 46809 53496 57954 62412 67613 77272 86931 93618 115908 124824 135226 173862 187236 202839 231816 270452 347724 374472 405678 540904 608517 695448 811356 1217034 1622712 2434068 4868136