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2395695952 = 2413671031669
BaseRepresentation
bin1000111011001011…
…0110101101010000
320011221220222000201
42032302312231100
514401244232302
61033420024544
7113240036206
oct21662665520
96157828021
102395695952
11101a342911
1256a392154
132c243c890
1418a25d076
15e04c5c87
hex8ecb6b50

2395695952 has 80 divisors (see below), whose sum is σ = 5125644160. Its totient is φ = 1077981696.

The previous prime is 2395695949. The next prime is 2395695979. The reversal of 2395695952 is 2595965932.

2395695952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2395695893 and 2395695902.

It is a congruent number.

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, 1434574 + ... + 1436242.

It is an arithmetic number, because the mean of its divisors is an integer number (64070552).

Almost surely, 22395695952 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 2395695952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562822080).

2395695952 is an abundant number, since it is smaller than the sum of its proper divisors (2729948208).

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

2395695952 is a wasteful number, since it uses less digits than its factorization.

2395695952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1854 counting only the distinct ones).

The product of its digits is 6561000, while the sum is 55.

The square root of 2395695952 is about 48945.8471374232. The cubic root of 2395695952 is about 1338.0650680401.

The spelling of 2395695952 in words is "two billion, three hundred ninety-five million, six hundred ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 67 103 104 134 206 208 268 412 536 824 871 1072 1339 1648 1669 1742 2678 3338 3484 5356 6676 6901 6968 10712 13352 13802 13936 21424 21697 26704 27604 43394 55208 86788 89713 110416 111823 171907 173576 179426 223646 343814 347152 358852 447292 687628 717704 894584 1375256 1435408 1453699 1789168 2234791 2750512 2907398 4469582 5814796 8939164 11517769 11629592 17878328 23035538 23259184 35756656 46071076 92142152 149730997 184284304 299461994 598923988 1197847976 2395695952