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842663744 = 26134461
BaseRepresentation
bin110010001110100…
…000011101000000
32011201121202100022
4302032200131000
53211210214434
6215341113012
726611344416
oct6216403500
92151552308
10842663744
113a273081a
121b6258768
13105770000
147dcb32b6
154dea322e
hex323a0740

842663744 has 70 divisors (see below), whose sum is σ = 1815432234. Its totient is φ = 388078080.

The previous prime is 842663743. The next prime is 842663749. The reversal of 842663744 is 447366248.

It can be written as a sum of positive squares in 5 ways, for example, as 766625344 + 76038400 = 27688^2 + 8720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 842663695 and 842663704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842663743) 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 9 ways as a sum of consecutive naturals, for example, 1827674 + ... + 1828134.

Almost surely, 2842663744 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 842663744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907716117).

842663744 is an abundant number, since it is smaller than the sum of its proper divisors (972768490).

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

842663744 is an frugal number, since it uses more digits than its factorization.

842663744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 476 counting only the distinct ones).

The product of its digits is 774144, while the sum is 44.

The square root of 842663744 is about 29028.6710684454. The cubic root of 842663744 is about 944.5351031137.

The spelling of 842663744 in words is "eight hundred forty-two million, six hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 461 676 832 922 1352 1844 2197 2704 3688 4394 5408 5993 7376 8788 10816 11986 14752 17576 23972 28561 29504 35152 47944 57122 70304 77909 95888 114244 140608 155818 191776 228488 311636 383552 456976 623272 913952 1012817 1246544 1827904 2025634 2493088 4051268 4986176 8102536 13166621 16205072 26333242 32410144 52666484 64820288 105332968 210665936 421331872 842663744