Search a number
-
+
3685614500 = 225334921121
BaseRepresentation
bin1101101110101110…
…0000001110100100
3100111212010121121202
43123223200032210
530022004131000
61405415302032
7160222130531
oct33353401644
910455117552
103685614500
1116214847a7
1286a37a918
13469757ba9
1426d6b7d88
15168873dd5
hexdbae03a4

3685614500 has 48 divisors (see below), whose sum is σ = 8072828400. Its totient is φ = 1469952000.

The previous prime is 3685614479. The next prime is 3685614523. The reversal of 3685614500 is 54165863.

3685614500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 464143936 + 3221470564 = 21544^2 + 56758^2 .

It is a super-2 number, since 2×36856145002 = 27167508485220500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163940 + ... + 185060.

It is an arithmetic number, because the mean of its divisors is an integer number (168183925).

Almost surely, 23685614500 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 3685614500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036414200).

3685614500 is an abundant number, since it is smaller than the sum of its proper divisors (4387213900).

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

3685614500 is a wasteful number, since it uses less digits than its factorization.

3685614500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21489 (or 21477 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 3685614500 is about 60709.2620610727. The cubic root of 3685614500 is about 1544.6732865229.

The spelling of 3685614500 in words is "three billion, six hundred eighty-five million, six hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 349 500 698 1396 1745 3490 6980 8725 17450 21121 34900 42242 43625 84484 87250 105605 174500 211210 422420 528025 1056050 2112100 2640125 5280250 7371229 10560500 14742458 29484916 36856145 73712290 147424580 184280725 368561450 737122900 921403625 1842807250 3685614500