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1083472992 = 25327796803
BaseRepresentation
bin100000010010100…
…0111110001100000
32210111202010112100
41000211013301200
54204332113432
6255302330400
735564240250
oct10045076140
92714663470
101083472992
11506657328
12262a29a00
131436152a4
14a3c79960
15651be07c
hex40947c60

1083472992 has 144 divisors (see below), whose sum is σ = 3566384640. Its totient is φ = 305600256.

The previous prime is 1083472979. The next prime is 1083473003. The reversal of 1083472992 is 2992743801.

1083472992 is a `hidden beast` number, since 10 + 8 + 347 + 299 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155863 + ... + 162665.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 21083472992 is an apocalyptic number.

1083472992 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 1083472992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783192320).

1083472992 is an abundant number, since it is smaller than the sum of its proper divisors (2482911648).

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

1083472992 is a wasteful number, since it uses less digits than its factorization.

1083472992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1083472992 is about 32916.1509292931. The cubic root of 1083472992 is about 1027.0841565871.

The spelling of 1083472992 in words is "one billion, eighty-three million, four hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 224 237 252 288 316 336 474 504 553 632 672 711 948 1008 1106 1264 1422 1659 1896 2016 2212 2528 2844 3318 3792 4424 4977 5688 6636 6803 7584 8848 9954 11376 13272 13606 17696 19908 20409 22752 26544 27212 39816 40818 47621 53088 54424 61227 79632 81636 95242 108848 122454 142863 159264 163272 190484 217696 244908 285726 326544 380968 428589 489816 537437 571452 653088 761936 857178 979632 1074874 1142904 1523872 1612311 1714356 1959264 2149748 2285808 3224622 3428712 3762059 4299496 4571616 4836933 6449244 6857424 7524118 8598992 9673866 11286177 12898488 13714848 15048236 17197984 19347732 22572354 25796976 30096472 33858531 38695464 45144708 51593952 60192944 67717062 77390928 90289416 120385888 135434124 154781856 180578832 270868248 361157664 541736496 1083472992