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82954458 = 23217419647
BaseRepresentation
bin1001111000111…
…00100011011010
312210002112010100
410330130203122
5132214020313
612122000230
72025046506
oct474344332
9183075110
1082954458
1142909a04
1223946076
13142560a2
14b035306
157439173
hex4f1c8da

82954458 has 48 divisors (see below), whose sum is σ = 191056320. Its totient is φ = 25922688.

The previous prime is 82954429. The next prime is 82954463. The reversal of 82954458 is 85445928.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127891 + ... + 128537.

It is an arithmetic number, because the mean of its divisors is an integer number (3980340).

Almost surely, 282954458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82954458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160).

82954458 is an abundant number, since it is smaller than the sum of its proper divisors (108101862).

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

82954458 is a wasteful number, since it uses less digits than its factorization.

82954458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1088 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 82954458 is about 9107.9337942258. The cubic root of 82954458 is about 436.1272704515.

The spelling of 82954458 in words is "eighty-two million, nine hundred fifty-four thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 419 647 838 1257 1294 1941 2514 3771 3882 5823 7123 7542 10999 11646 14246 21369 21998 32997 42738 64107 65994 98991 128214 197982 271093 542186 813279 1626558 2439837 4608581 4879674 9217162 13825743 27651486 41477229 82954458