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82978344 = 2334128053
BaseRepresentation
bin1001111001000…
…10011000101000
312210010201220000
410330202120220
5132220301334
612122303000
72025206241
oct474423050
9183121800
1082978344
1142925949
1223957a60
1314263c17
14b03dcc8
157441299
hex4f22628

82978344 has 40 divisors (see below), whose sum is σ = 232418010. Its totient is φ = 27659232.

The previous prime is 82978331. The next prime is 82978369. The reversal of 82978344 is 44387928.

It can be written as a sum of positive squares in only one way, i.e., 64160100 + 18818244 = 8010^2 + 4338^2 .

It is a super-3 number, since 3×829783443 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82978344.

It is an unprimeable number.

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, 63379 + ... + 64674.

Almost surely, 282978344 is an apocalyptic number.

It is an amenable number.

82978344 is an abundant number, since it is smaller than the sum of its proper divisors (149439666).

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

82978344 is a wasteful number, since it uses less digits than its factorization.

82978344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128071 (or 128058 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 82978344 is about 9109.2449742007. The cubic root of 82978344 is about 436.1691260935.

It can be divided in two parts, 8297 and 8344, that added together give a square (16641 = 1292).

The spelling of 82978344 in words is "eighty-two million, nine hundred seventy-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 128053 256106 384159 512212 768318 1024424 1152477 1536636 2304954 3073272 3457431 4609908 6914862 9219816 10372293 13829724 20744586 27659448 41489172 82978344