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811861056 = 263617401
BaseRepresentation
bin110000011001000…
…000010001000000
32002120122211000000
4300121000101000
53130314023211
6212321000000
726055463566
oct6031002100
92076584000
10811861056
11387302256
121a7a83000
13cc276876
1479b75a36
154b41b656
hex30640440

811861056 has 98 divisors (see below), whose sum is σ = 2415589022. Its totient is φ = 270604800.

The previous prime is 811861021. The next prime is 811861069. The reversal of 811861056 is 650168118.

It can be written as a sum of positive squares in only one way, i.e., 717382656 + 94478400 = 26784^2 + 9720^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 811861056.

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 37956 + ... + 55356.

Almost surely, 2811861056 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 811861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207794511).

811861056 is an abundant number, since it is smaller than the sum of its proper divisors (1603727966).

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

811861056 is an equidigital number, since it uses as much as digits as its factorization.

811861056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17431 (or 17406 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 811861056 is about 28493.1756039933. The cubic root of 811861056 is about 932.8831234578.

The spelling of 811861056 in words is "eight hundred eleven million, eight hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 17401 23328 34802 46656 52203 69604 104406 139208 156609 208812 278416 313218 417624 469827 556832 626436 835248 939654 1113664 1252872 1409481 1670496 1879308 2505744 2818962 3340992 3758616 4228443 5011488 5637924 7517232 8456886 10022976 11275848 12685329 15034464 16913772 22551696 25370658 30068928 33827544 45103392 50741316 67655088 90206784 101482632 135310176 202965264 270620352 405930528 811861056