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803214144 = 263551647
BaseRepresentation
bin101111111000000…
…001001101000000
32001222101111200000
4233320001031000
53121110323034
6211411400000
725622131125
oct5770011500
92058344600
10803214144
11382436747
121a4bb3000
13ca539b55
147896474c
154a7ae599
hex2fe01340

803214144 has 84 divisors (see below), whose sum is σ = 2387583744. Its totient is φ = 267732864.

The previous prime is 803214121. The next prime is 803214163. The reversal of 803214144 is 441412308.

It is a super-2 number, since 2×8032141442 = 1290305922243305472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10272 + ... + 41375.

It is an arithmetic number, because the mean of its divisors is an integer number (28423616).

Almost surely, 2803214144 is an apocalyptic number.

It is an amenable number.

803214144 is an abundant number, since it is smaller than the sum of its proper divisors (1584369600).

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

803214144 is an equidigital number, since it uses as much as digits as its factorization.

803214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51674 (or 51652 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 803214144 is about 28341.0328675580. The cubic root of 803214144 is about 929.5593333733.

The spelling of 803214144 in words is "eight hundred three million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 51647 103294 154941 206588 309882 413176 464823 619764 826352 929646 1239528 1394469 1652704 1859292 2479056 2788938 3305408 3718584 4183407 4958112 5577876 7437168 8366814 9916224 11155752 12550221 14874336 16733628 22311504 25100442 29748672 33467256 44623008 50200884 66934512 89246016 100401768 133869024 200803536 267738048 401607072 803214144