Search a number
-
+
4394160252 = 22355385297
BaseRepresentation
bin1000001011110100…
…11001000001111100
3102100020101110200000
410011322121001330
532444401112002
62004010034300
7213614513556
oct40572310174
912306343600
104394160252
1119554306a9
12a27718990
13550499c31
142d98384d6
151aab8361c
hex105e9907c

4394160252 has 72 divisors (see below), whose sum is σ = 11736322416. Its totient is φ = 1437067008.

The previous prime is 4394160247. The next prime is 4394160259. The reversal of 4394160252 is 2520614934.

It is a happy number.

4394160252 is a `hidden beast` number, since 4 + 3 + 9 + 41 + 602 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4394160259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8868 + ... + 94164.

It is an arithmetic number, because the mean of its divisors is an integer number (163004478).

Almost surely, 24394160252 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 4394160252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868161208).

4394160252 is an abundant number, since it is smaller than the sum of its proper divisors (7342162164).

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

4394160252 is a wasteful number, since it uses less digits than its factorization.

4394160252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85369 (or 85355 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4394160252 is about 66288.4624350271. The cubic root of 4394160252 is about 1637.9172763440.

The spelling of 4394160252 in words is "four billion, three hundred ninety-four million, one hundred sixty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 954 972 1431 1908 2862 4293 5724 8586 12879 17172 25758 51516 85297 170594 255891 341188 511782 767673 1023564 1535346 2303019 3070692 4520741 4606038 6909057 9041482 9212076 13562223 13818114 18082964 20727171 27124446 27636228 40686669 41454342 54248892 81373338 82908684 122060007 162746676 244120014 366180021 488240028 732360042 1098540063 1464720084 2197080126 4394160252