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82451908 = 227211167229
BaseRepresentation
bin1001110101000…
…01110111000100
312202010222202101
410322201313010
5132101430113
612103121444
72020554400
oct472416704
9182128671
1082451908
11425a6380
1223743284
131410b416
14ad44100
15738a2dd
hex4ea1dc4

82451908 has 72 divisors (see below), whose sum is σ = 185008320. Its totient is φ = 31792320.

The previous prime is 82451903. The next prime is 82451933. The reversal of 82451908 is 80915428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82451903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359938 + ... + 360166.

It is an arithmetic number, because the mean of its divisors is an integer number (2569560).

Almost surely, 282451908 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 82451908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92504160).

82451908 is an abundant number, since it is smaller than the sum of its proper divisors (102556412).

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

82451908 is a wasteful number, since it uses less digits than its factorization.

82451908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 82451908 is about 9080.3032988992. The cubic root of 82451908 is about 435.2447787803.

It can be divided in two parts, 8245 and 1908, that added together give a triangular number (10153 = T142).

The spelling of 82451908 in words is "eighty-two million, four hundred fifty-one thousand, nine hundred eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 167 196 229 308 334 458 539 668 916 1078 1169 1603 1837 2156 2338 2519 3206 3674 4676 5038 6412 7348 8183 10076 11221 12859 16366 17633 22442 25718 32732 35266 38243 44884 51436 70532 76486 90013 123431 152972 180026 246862 267701 360052 420673 493724 535402 841346 1070804 1682692 1873907 2944711 3747814 5889422 7495628 11778844 20612977 41225954 82451908