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1097111808 = 28321336629
BaseRepresentation
bin100000101100100…
…1001100100000000
32211110102001110200
41001121021210000
54221330034213
6300510525200
736121203462
oct10131114400
92743361420
101097111808
11513322381
12267506800
131463ac1b0
14a59ca132
15664b5273
hex41649900

1097111808 has 108 divisors (see below), whose sum is σ = 3406663260. Its totient is φ = 337563648.

The previous prime is 1097111803. The next prime is 1097111833. The reversal of 1097111808 is 8081117901.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 632623104 + 464488704 = 25152^2 + 21552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1097111803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11638 + ... + 48266.

Almost surely, 21097111808 is an apocalyptic number.

1097111808 is a gapful number since it is divisible by the number (18) 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 1097111808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703331630).

1097111808 is an abundant number, since it is smaller than the sum of its proper divisors (2309551452).

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

1097111808 is a wasteful number, since it uses less digits than its factorization.

1097111808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36664 (or 36647 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

The square root of 1097111808 is about 33122.6781525891. The cubic root of 1097111808 is about 1031.3758620156.

The spelling of 1097111808 in words is "one billion, ninety-seven million, one hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 36629 73258 109887 146516 219774 293032 329661 439548 476177 586064 659322 879096 952354 1172128 1318644 1428531 1758192 1904708 2344256 2637288 2857062 3516384 3809416 4285593 4688512 5274576 5714124 7032768 7618832 8571186 9377024 10549152 11428248 14065536 15237664 17142372 21098304 22856496 28131072 30475328 34284744 42196608 45712992 60950656 68569488 84393216 91425984 121901312 137138976 182851968 274277952 365703936 548555904 1097111808