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1079436852 = 22321322310343
BaseRepresentation
bin100000001010110…
…1110011000110100
32210020011001222200
41000111232120310
54202313434402
6255040024500
735515030134
oct10025563064
92706131880
101079436852
1150434a97a
12261602130
13142831140
14a3508ac4
1564b7321c
hex4056e634

1079436852 has 72 divisors (see below), whose sum is σ = 2951929344. Its totient is φ = 330613056.

The previous prime is 1079436823. The next prime is 1079436899. The reversal of 1079436852 is 2586349701.

1079436852 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1079436852 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1079436798 and 1079436807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99193 + ... + 109535.

It is a 1-persistent number, because it is pandigital, but 2⋅1079436852 = 2158873704 is not.

It is a vampire number, since it can be written as 1739462058 (with its own digits).

Almost surely, 21079436852 is an apocalyptic number.

1079436852 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 1079436852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475964672).

1079436852 is an abundant number, since it is smaller than the sum of its proper divisors (1872492492).

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

1079436852 is a wasteful number, since it uses less digits than its factorization.

1079436852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10589 (or 10584 counting only the distinct ones).

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

The square root of 1079436852 is about 32854.7843091383. The cubic root of 1079436852 is about 1025.8072093101.

The spelling of 1079436852 in words is "one billion, seventy-nine million, four hundred thirty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 223 234 446 468 669 892 1338 2007 2676 2899 4014 5798 8028 8697 10343 11596 17394 20686 26091 31029 34788 41372 52182 62058 93087 104364 124116 134459 186174 268918 372348 403377 537836 806754 1210131 1613508 2306489 2420262 4612978 4840524 6919467 9225956 13838934 20758401 27677868 29984357 41516802 59968714 83033604 89953071 119937428 179906142 269859213 359812284 539718426 1079436852