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4193786052 = 2232237369383
BaseRepresentation
bin1111100111111000…
…0001100011000100
3101211021100101221100
43321332001203010
532042102123202
61532051220100
7205632410331
oct37176014304
911737311840
104193786052
111862312595
129905a7630
1351ab11511
142bad99988
151982a341c
hexf9f818c4

4193786052 has 72 divisors (see below), whose sum is σ = 11213564544. Its totient is φ = 1318813056.

The previous prime is 4193786033. The next prime is 4193786057. The reversal of 4193786052 is 2506873914.

4193786052 is a `hidden beast` number, since 4 + 1 + 9 + 37 + 8 + 605 + 2 = 666.

4193786052 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

4193786052 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4193785989 and 4193786007.

It is not an unprimeable number, because it can be changed into a prime (4193786057) 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, 25753 + ... + 95135.

It is an arithmetic number, because the mean of its divisors is an integer number (155743952).

It is a 1-persistent number, because it is pandigital, but 2⋅4193786052 = 8387572104 is not.

Almost surely, 24193786052 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 4193786052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606782272).

4193786052 is an abundant number, since it is smaller than the sum of its proper divisors (7019778492).

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

4193786052 is a wasteful number, since it uses less digits than its factorization.

4193786052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69489 (or 69484 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4193786052 is about 64759.4475887496. The cubic root of 4193786052 is about 1612.6325579146.

The spelling of 4193786052 in words is "four billion, one hundred ninety-three million, seven hundred eighty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 73 92 138 146 207 219 276 292 414 438 657 828 876 1314 1679 2628 3358 5037 6716 10074 15111 20148 30222 60444 69383 138766 208149 277532 416298 624447 832596 1248894 1595809 2497788 3191618 4787427 5064959 6383236 9574854 10129918 14362281 15194877 19149708 20259836 28724562 30389754 45584631 57449124 60779508 91169262 116494057 182338524 232988114 349482171 465976228 698964342 1048446513 1397928684 2096893026 4193786052