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1097073648 = 24321117131311
BaseRepresentation
bin100000101100100…
…0000001111110000
32211110100010010100
41001121000033300
54221322324043
6300510032400
736120654306
oct10131001760
92743303110
101097073648
115132a6740
122674a8700
13146397a08
14a59ba276
15664a8cd3
hex416403f0

1097073648 has 240 divisors, whose sum is σ = 3584984832. Its totient is φ = 309504000.

The previous prime is 1097073647. The next prime is 1097073673. The reversal of 1097073648 is 8463707901.

1097073648 = 543 + 553 + ... + 2573.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097073647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3527413 + ... + 3527723.

Almost surely, 21097073648 is an apocalyptic number.

1097073648 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 1097073648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792492416).

1097073648 is an abundant number, since it is smaller than the sum of its proper divisors (2487911184).

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

1097073648 is a wasteful number, since it uses less digits than its factorization.

1097073648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1097073648 is about 33122.1021072033. The cubic root of 1097073648 is about 1031.3639040246.

The spelling of 1097073648 in words is "one billion, ninety-seven million, seventy-three thousand, six hundred forty-eight".