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1082894304 = 25353331643
BaseRepresentation
bin100000010001011…
…1010011111100000
32210110122201201110
41000202322133200
54204210104204
6255242103320
735556310152
oct10042723740
92713581643
101082894304
115062a1578
122627aab40
13143471a7b
14a3b68ad2
1565107889
hex408ba7e0

1082894304 has 96 divisors (see below), whose sum is σ = 2909499264. Its totient is φ = 352535040.

The previous prime is 1082894297. The next prime is 1082894321. The reversal of 1082894304 is 4034982801.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1683807 + ... + 1684449.

It is an arithmetic number, because the mean of its divisors is an integer number (30307284).

Almost surely, 21082894304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082894304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454749632).

1082894304 is an abundant number, since it is smaller than the sum of its proper divisors (1826604960).

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

1082894304 is a wasteful number, since it uses less digits than its factorization.

1082894304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1082894304 is about 32907.3594200446. The cubic root of 1082894304 is about 1026.9012672029.

The spelling of 1082894304 in words is "one billion, eighty-two million, eight hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 331 424 636 643 662 848 993 1272 1286 1324 1696 1929 1986 2544 2572 2648 3858 3972 5088 5144 5296 7716 7944 10288 10592 15432 15888 17543 20576 30864 31776 34079 35086 52629 61728 68158 70172 102237 105258 136316 140344 204474 210516 212833 272632 280688 408948 421032 425666 545264 561376 638499 817896 842064 851332 1090528 1276998 1635792 1684128 1702664 2553996 3271584 3405328 5107992 6810656 10215984 11280149 20431968 22560298 33840447 45120596 67680894 90241192 135361788 180482384 270723576 360964768 541447152 1082894304