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1071825444 = 223241726169
BaseRepresentation
bin111111111000101…
…100001000100100
32202200211101002200
4333320230020210
54143341403234
6254204534500
735363236344
oct7770541044
92680741080
101071825444
11500021358
1225ab51430
13141097851
14a24c6d24
156416cd99
hex3fe2c224

1071825444 has 36 divisors (see below), whose sum is σ = 2775421740. Its totient is φ = 348560640.

The previous prime is 1071825437. The next prime is 1071825457. The reversal of 1071825444 is 4445281701.

It is a happy number.

1071825444 is a `hidden beast` number, since 107 + 1 + 8 + 2 + 544 + 4 = 666.

1071825444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 452412900 + 619412544 = 21270^2 + 24888^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10718254442 = 2297619564811594272, which contains 22 as substring.

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 = 1071825399 and 1071825408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361609 + ... + 364560.

Almost surely, 21071825444 is an apocalyptic number.

It is an amenable number.

1071825444 is an abundant number, since it is smaller than the sum of its proper divisors (1703596296).

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

1071825444 is a wasteful number, since it uses less digits than its factorization.

1071825444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726220 (or 726215 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1071825444 is about 32738.7453027754. The cubic root of 1071825444 is about 1023.3904364174.

The spelling of 1071825444 in words is "one billion, seventy-one million, eight hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 726169 1452338 2178507 2904676 4357014 6535521 8714028 13071042 26142084 29772929 59545858 89318787 119091716 178637574 267956361 357275148 535912722 1071825444