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3653220852 = 223431735569
BaseRepresentation
bin1101100110111111…
…1011100111110100
3100102121011211220000
43121233323213310
524440211031402
61402301111300
7156346602441
oct33157734764
910377154800
103653220852
111605169996
1285b558530
13462b25558
142692849c8
15165ac5c1c
hexd9bfb9f4

3653220852 has 60 divisors (see below), whose sum is σ = 9580637220. Its totient is φ = 1213864704.

The previous prime is 3653220829. The next prime is 3653220859. The reversal of 3653220852 is 2580223563.

It can be written as a sum of positive squares in 2 ways, for example, as 1971892836 + 1681328016 = 44406^2 + 41004^2 .

It is a super-3 number, since 3×36532208523 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3653220859) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84924 + ... + 120492.

It is an arithmetic number, because the mean of its divisors is an integer number (159677287).

Almost surely, 23653220852 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 3653220852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790318610).

3653220852 is an abundant number, since it is smaller than the sum of its proper divisors (5927416368).

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

3653220852 is a wasteful number, since it uses less digits than its factorization.

3653220852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35902 (or 35891 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3653220852 is about 60441.8799509082. The cubic root of 3653220852 is about 1540.1344758041.

The spelling of 3653220852 in words is "three billion, six hundred fifty-three million, two hundred twenty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 317 324 634 951 1268 1902 2853 3804 5706 8559 11412 17118 25677 34236 35569 51354 71138 102708 106707 142276 213414 320121 426828 640242 960363 1280484 1920726 2881089 3841452 5762178 11275373 11524356 22550746 33826119 45101492 67652238 101478357 135304476 202956714 304435071 405913428 608870142 913305213 1217740284 1826610426 3653220852