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82822542 = 231141127241
BaseRepresentation
bin1001110111111…
…00010110001110
312202211211011120
410323330112032
5132200310132
612115101410
72023660065
oct473742616
9182754146
1082822542
1142829890
12238a1866
131420b02a
14addd1dc
15741002c
hex4efc58e

82822542 has 64 divisors (see below), whose sum is σ = 187342848. Its totient is φ = 24192000.

The previous prime is 82822541. The next prime is 82822547. The reversal of 82822542 is 24522828.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82822541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343542 + ... + 343782.

It is an arithmetic number, because the mean of its divisors is an integer number (2927232).

Almost surely, 282822542 is an apocalyptic number.

82822542 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 82822542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93671424).

82822542 is an abundant number, since it is smaller than the sum of its proper divisors (104520306).

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

82822542 is a wasteful number, since it uses less digits than its factorization.

82822542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425.

The product of its digits is 20480, while the sum is 33.

The square root of 82822542 is about 9100.6890947884. The cubic root of 82822542 is about 435.8959680812.

The spelling of 82822542 in words is "eighty-two million, eight hundred twenty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 127 241 246 254 381 451 482 723 762 902 1353 1397 1446 2651 2706 2794 4191 5207 5302 7953 8382 9881 10414 15621 15906 19762 29643 30607 31242 57277 59286 61214 91821 108691 114554 171831 183642 217382 326073 336677 343662 652146 673354 1010031 1254887 2020062 2509774 3764661 7529322 13803757 27607514 41411271 82822542