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4182372852 = 2237223929761
BaseRepresentation
bin1111100101001001…
…1111000111110100
3101210110212112222020
43321102133013310
532031141412402
61531002433140
7205433403600
oct37122370764
911713775866
104182372852
111856927699
129888027b0
13518646648
142b9668500
1519729b8bc
hexf949f1f4

4182372852 has 72 divisors (see below), whose sum is σ = 11400036480. Its totient is φ = 1189923840.

The previous prime is 4182372841. The next prime is 4182372869. The reversal of 4182372852 is 2582732814.

It is a super-2 number, since 2×41823728522 = 34984485346293227808, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125652 + ... + 155412.

It is an arithmetic number, because the mean of its divisors is an integer number (158333840).

Almost surely, 24182372852 is an apocalyptic number.

4182372852 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4182372852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700018240).

4182372852 is an abundant number, since it is smaller than the sum of its proper divisors (7217663628).

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

4182372852 is a wasteful number, since it uses less digits than its factorization.

4182372852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30021 (or 30012 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 4182372852 is about 64671.2675923396. The cubic root of 4182372852 is about 1611.1683265202.

The spelling of 4182372852 in words is "four billion, one hundred eighty-two million, three hundred seventy-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 239 294 478 588 717 956 1434 1673 2868 3346 5019 6692 10038 11711 20076 23422 29761 35133 46844 59522 70266 89283 119044 140532 178566 208327 357132 416654 624981 833308 1249962 1458289 2499924 2916578 4374867 5833156 7112879 8749734 14225758 17499468 21338637 28451516 42677274 49790153 85354548 99580306 149370459 199160612 298740918 348531071 597481836 697062142 1045593213 1394124284 2091186426 4182372852