Base | Representation |
---|---|
bin | 111010010100101… |
… | …0111010111000100 |
3 | 12001101102221012100 |
4 | 1310221113113010 |
5 | 13001443010034 |
6 | 522105152100 |
7 | 66332142144 |
oct | 16451272704 |
9 | 5041387170 |
10 | 1957000644 |
11 | 914748605 |
12 | 46748b630 |
13 | 2525a0561 |
14 | 147ca4924 |
15 | b6c1c099 |
hex | 74a575c4 |
1957000644 has 81 divisors (see below), whose sum is σ = 5065706919. Its totient is φ = 637027200.
The previous prime is 1957000637. The next prime is 1957000651. The reversal of 1957000644 is 4460007591.
The square root of 1957000644 is 44238.
It is a perfect power (a square), and thus also a powerful number.
1957000644 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 0 + 0 + 0 + 644 = 666.
It is an interprime number because it is at equal distance from previous prime (1957000637) and next prime (1957000651).
It can be written as a sum of positive squares in 4 ways, for example, as 724148100 + 1232852544 = 26910^2 + 35112^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1957000599 and 1957000608.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19376194 + ... + 19376294.
Almost surely, 21957000644 is an apocalyptic number.
1957000644 is the 44238-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1957000644
1957000644 is an abundant number, since it is smaller than the sum of its proper divisors (3108706275).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1957000644 is a wasteful number, since it uses less digits than its factorization.
1957000644 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 358 (or 179 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The cubic root of 1957000644 is about 1250.8262577715.
Multiplying 1957000644 by its sum of digits (36), we get a square (70452023184 = 2654282).
1957000644 divided by its sum of digits (36) gives a square (54361129 = 73732).
The spelling of 1957000644 in words is "one billion, nine hundred fifty-seven million, six hundred forty-four", and thus it is an aban number.
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