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1067394852 = 2232312234289
BaseRepresentation
bin111111100111110…
…010011100100100
32202101111021110200
4333213302130210
54141223113402
6253525550500
735310464226
oct7747623444
92671437420
101067394852
114a8575607
12259575430
131401a5cb4
14a1a92416
1563a9521c
hex3f9f2724

1067394852 has 72 divisors (see below), whose sum is σ = 2798315520. Its totient is φ = 342696960.

The previous prime is 1067394751. The next prime is 1067394859. The reversal of 1067394852 is 2584937601.

1067394852 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10673948522 = 2278663540152203808, which contains 22 as substring.

1067394852 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1067394798 and 1067394807.

It is not an unprimeable number, because it can be changed into a prime (1067394859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246724 + ... + 251012.

It is a 1-persistent number, because it is pandigital, but 2⋅1067394852 = 2134789704 is not.

It is a vampire number, since it can be written as 2073951468 (with its own digits).

Almost surely, 21067394852 is an apocalyptic number.

1067394852 is a gapful number since it is divisible by the number (12) 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 1067394852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399157760).

1067394852 is an abundant number, since it is smaller than the sum of its proper divisors (1730920668).

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

1067394852 is a wasteful number, since it uses less digits than its factorization.

1067394852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1067394852 is about 32671.0093507991. The cubic root of 1067394852 is about 1021.9783633401.

The spelling of 1067394852 in words is "one billion, sixty-seven million, three hundred ninety-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 223 279 372 446 558 669 892 1116 1338 2007 2676 4014 4289 6913 8028 8578 12867 13826 17156 20739 25734 27652 38601 41478 51468 62217 77202 82956 124434 132959 154404 248868 265918 398877 531836 797754 956447 1196631 1595508 1912894 2393262 2869341 3825788 4786524 5738682 8608023 11477364 17216046 29649857 34432092 59299714 88949571 118599428 177899142 266848713 355798284 533697426 1067394852