Search a number
-
+
3545682820 = 225434787721
BaseRepresentation
bin1101001101010110…
…1101001110000100
3100011002211100102221
43103111231032010
524230143322240
61343500142124
7153602543461
oct32325551604
910132740387
103545682820
11155a499a89
1282b537944
13446772994
14258c90668
1515b432a4a
hexd356d384

3545682820 has 48 divisors (see below), whose sum is σ = 7781292288. Its totient is φ = 1355800320.

The previous prime is 3545682779. The next prime is 3545682851. The reversal of 3545682820 is 282865453.

3545682820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 3441 + ... + 84280.

It is an arithmetic number, because the mean of its divisors is an integer number (162110256).

Almost surely, 23545682820 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 3545682820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890646144).

3545682820 is an abundant number, since it is smaller than the sum of its proper divisors (4235609468).

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

3545682820 is a wasteful number, since it uses less digits than its factorization.

3545682820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87820 (or 87818 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The square root of 3545682820 is about 59545.6364480219. The cubic root of 3545682820 is about 1524.8716645564.

The spelling of 3545682820 in words is "three billion, five hundred forty-five million, six hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 43 47 86 94 172 188 215 235 430 470 860 940 2021 4042 8084 10105 20210 40420 87721 175442 350884 438605 877210 1754420 3772003 4122887 7544006 8245774 15088012 16491548 18860015 20614435 37720030 41228870 75440060 82457740 177284141 354568282 709136564 886420705 1772841410 3545682820