Search a number
-
+
107889444 = 223213269857
BaseRepresentation
bin1100110111001…
…00001100100100
321112000100111100
412123210030210
5210104430234
614412240100
72450021325
oct633441444
9245010440
10107889444
115599aa33
1230170030
1319476810
141048644c
159712399
hex66e4324

107889444 has 72 divisors (see below), whose sum is σ = 295134840. Its totient is φ = 33034752.

The previous prime is 107889427. The next prime is 107889473. The reversal of 107889444 is 444988701.

It can be written as a sum of positive squares in 4 ways, for example, as 3849444 + 104040000 = 1962^2 + 10200^2 .

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 107889444.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125464 + ... + 126320.

It is an arithmetic number, because the mean of its divisors is an integer number (4099095).

Almost surely, 2107889444 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 107889444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147567420).

107889444 is an abundant number, since it is smaller than the sum of its proper divisors (187245396).

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

107889444 is a wasteful number, since it uses less digits than its factorization.

107889444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 107889444 is about 10386.9843554325. The cubic root of 107889444 is about 476.0577631570.

The spelling of 107889444 in words is "one hundred seven million, eight hundred eighty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 269 468 538 807 857 1076 1614 1714 2421 2571 3228 3428 3497 4842 5142 6994 7713 9684 10284 10491 11141 13988 15426 20982 22282 30852 31473 33423 41964 44564 62946 66846 100269 125892 133692 200538 230533 401076 461066 691599 922132 1383198 2074797 2766396 2996929 4149594 5993858 8299188 8990787 11987716 17981574 26972361 35963148 53944722 107889444