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1075287444 = 22371119232663
BaseRepresentation
bin100000000010111…
…1001010110010100
32202221100021001220
41000011321112110
54200233144234
6254411050340
735434535550
oct10005712624
92687307056
101075287444
11501a76410
122601409b0
13141a0a57a
14a2b48860
1564603a49
hex40179594

1075287444 has 192 divisors, whose sum is σ = 3437199360. Its totient is φ = 252996480.

The previous prime is 1075287413. The next prime is 1075287481. The reversal of 1075287444 is 4447825701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1075287396 and 1075287405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402457 + ... + 405119.

It is an arithmetic number, because the mean of its divisors is an integer number (17902080).

Almost surely, 21075287444 is an apocalyptic number.

1075287444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075287444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718599680).

1075287444 is an abundant number, since it is smaller than the sum of its proper divisors (2361911916).

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

1075287444 is a wasteful number, since it uses less digits than its factorization.

1075287444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The square root of 1075287444 is about 32791.5758084298. The cubic root of 1075287444 is about 1024.4911037978.

The spelling of 1075287444 in words is "one billion, seventy-five million, two hundred eighty-seven thousand, four hundred forty-four".