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1115833472 = 27136110993
BaseRepresentation
bin100001010000010…
…0100010010000000
32212202122012202122
41002200210102000
54241123132342
6302420103412
736436266545
oct10240442200
92782565678
101115833472
1152294a226
12271834b68
1314a2357c0
14a82a0bcc
1567e624d2
hex42824480

1115833472 has 64 divisors (see below), whose sum is σ = 2433411960. Its totient is φ = 506511360.

The previous prime is 1115833469. The next prime is 1115833483. The reversal of 1115833472 is 2743385111.

It can be written as a sum of positive squares in 4 ways, for example, as 255232576 + 860600896 = 15976^2 + 29336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96008 + ... + 107000.

Almost surely, 21115833472 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 1115833472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216705980).

1115833472 is an abundant number, since it is smaller than the sum of its proper divisors (1317578488).

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

1115833472 is a wasteful number, since it uses less digits than its factorization.

1115833472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11081 (or 11069 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 1115833472 is about 33404.0936413488. The cubic root of 1115833472 is about 1037.2094420686.

The spelling of 1115833472 in words is "one billion, one hundred fifteen million, eight hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 208 244 416 488 793 832 976 1586 1664 1952 3172 3904 6344 7808 10993 12688 21986 25376 43972 50752 87944 101504 142909 175888 285818 351776 571636 670573 703552 1143272 1341146 1407104 2286544 2682292 4573088 5364584 8717449 9146176 10729168 17434898 18292352 21458336 34869796 42916672 69739592 85833344 139479184 278958368 557916736 1115833472