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3628740852 = 22321118150627
BaseRepresentation
bin1101100001001010…
…0011000011110100
3100100220010010122100
43120102203003310
524412424201402
61400024302100
7155631534252
oct33022430364
910326103570
103628740852
1115a2369790
12853311930
1345aa33c49
14265d115d2
1516388c71c
hexd84a30f4

3628740852 has 72 divisors (see below), whose sum is σ = 10062011232. Its totient is φ = 1093521600.

The previous prime is 3628740839. The next prime is 3628740853. The reversal of 3628740852 is 2580478263.

It is a junction number, because it is equal to n+sod(n) for n = 3628740798 and 3628740807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628740853) 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, 46363 + ... + 96989.

It is an arithmetic number, because the mean of its divisors is an integer number (139750156).

Almost surely, 23628740852 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 3628740852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031005616).

3628740852 is an abundant number, since it is smaller than the sum of its proper divisors (6433270380).

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

3628740852 is a wasteful number, since it uses less digits than its factorization.

3628740852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50829 (or 50824 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3628740852 is about 60239.0309683016. The cubic root of 3628740852 is about 1536.6866487667.

The spelling of 3628740852 in words is "three billion, six hundred twenty-eight million, seven hundred forty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 181 198 362 396 543 724 1086 1629 1991 2172 3258 3982 5973 6516 7964 11946 17919 23892 35838 50627 71676 101254 151881 202508 303762 455643 556897 607524 911286 1113794 1670691 1822572 2227588 3341382 5012073 6682764 9163487 10024146 18326974 20048292 27490461 36653948 54980922 82471383 100798357 109961844 164942766 201596714 302395071 329885532 403193428 604790142 907185213 1209580284 1814370426 3628740852