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3568869072 = 243833997
BaseRepresentation
bin1101010010111000…
…1001111011010000
3100012201110100000000
43110232021323100
524302112302242
61350045130000
7154303613046
oct32456117320
910181410000
103568869072
11157159617a
12837259900
1344b500462
1425bda8396
1515d4b2a4c
hexd4b89ed0

3568869072 has 90 divisors (see below), whose sum is σ = 10371803858. Its totient is φ = 1189588032.

The previous prime is 3568869071. The next prime is 3568869089. The reversal of 3568869072 is 2709688653.

It is a happy number.

3568869072 is a `hidden beast` number, since 3 + 568 + 8 + 6 + 9 + 0 + 72 = 666.

3568869072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3178253376 + 390615696 = 56376^2 + 19764^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3568869071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 87978 + ... + 121974.

Almost surely, 23568869072 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 3568869072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185901929).

3568869072 is an abundant number, since it is smaller than the sum of its proper divisors (6802934786).

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

3568869072 is an frugal number, since it uses more digits than its factorization.

3568869072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34029 (or 34002 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3568869072 is about 59740.0123200523. The cubic root of 3568869072 is about 1528.1883054206.

The spelling of 3568869072 in words is "three billion, five hundred sixty-eight million, eight hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8748 11664 13122 17496 26244 33997 34992 52488 67994 101991 104976 135988 203982 271976 305973 407964 543952 611946 815928 917919 1223892 1631856 1835838 2447784 2753757 3671676 4895568 5507514 7343352 8261271 11015028 14686704 16522542 22030056 24783813 33045084 44060112 49567626 66090168 74351439 99135252 132180336 148702878 198270504 223054317 297405756 396541008 446108634 594811512 892217268 1189623024 1784434536 3568869072