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812141088 = 25311769073
BaseRepresentation
bin110000011010000…
…100101000100000
32002121012001010120
4300122010220200
53130402003323
6212331000240
726061041163
oct6032045040
92077161116
10812141088
11387483690
121a7b99080
13cc344175
1479c09ada
154b4745e3
hex30684a20

812141088 has 48 divisors (see below), whose sum is σ = 2325679776. Its totient is φ = 246103040.

The previous prime is 812141087. The next prime is 812141117. The reversal of 812141088 is 880141218.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×8121410883 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (812141081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383481 + ... + 385592.

It is an arithmetic number, because the mean of its divisors is an integer number (48451662).

Almost surely, 2812141088 is an apocalyptic number.

812141088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

812141088 is an abundant number, since it is smaller than the sum of its proper divisors (1513538688).

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

812141088 is a wasteful number, since it uses less digits than its factorization.

812141088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769097 (or 769089 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 812141088 is about 28498.0891991025. The cubic root of 812141088 is about 932.9903696813.

The spelling of 812141088 in words is "eight hundred twelve million, one hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 769073 1538146 2307219 3076292 4614438 6152584 8459803 9228876 12305168 16919606 18457752 24610336 25379409 33839212 36915504 50758818 67678424 73831008 101517636 135356848 203035272 270713696 406070544 812141088