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82454172 = 22323231419
BaseRepresentation
bin1001110101000…
…10011010011100
312202011002212020
410322202122130
5132102013142
612103140140
72020564113
oct472423234
9182132766
1082454172
11425a8049
1223744650
131410c468
14ad44c7a
15738acec
hex4ea269c

82454172 has 72 divisors (see below), whose sum is σ = 208104960. Its totient is φ = 25380960.

The previous prime is 82454161. The next prime is 82454209. The reversal of 82454172 is 27145428.

It is a congruent number.

It is an unprimeable number.

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, 196579 + ... + 196997.

Almost surely, 282454172 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 82454172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104052480).

82454172 is an abundant number, since it is smaller than the sum of its proper divisors (125650788).

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

82454172 is a wasteful number, since it uses less digits than its factorization.

82454172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 478 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 82454172 is about 9080.4279634828. The cubic root of 82454172 is about 435.2487624567.

The spelling of 82454172 in words is "eighty-two million, four hundred fifty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 419 529 713 838 1058 1257 1426 1587 1676 2116 2139 2514 2852 3174 4278 5028 6348 8556 9637 12989 16399 19274 25978 28911 32798 38548 38967 49197 51956 57822 65596 77934 98394 115644 155868 196788 221651 298747 443302 597494 664953 886604 896241 1194988 1329906 1792482 2659812 3584964 6871181 13742362 20613543 27484724 41227086 82454172