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84812124 = 2231929101127
BaseRepresentation
bin1010000111000…
…10000101011100
312220120220100210
411003202011130
5133202441444
612225452420
72046614445
oct503420534
9186526323
1084812124
1143968671
12244a1110
13147567b7
14b39a2cc
1576a47b9
hex50e215c

84812124 has 96 divisors (see below), whose sum is σ = 219340800. Its totient is φ = 25401600.

The previous prime is 84812107. The next prime is 84812129. The reversal of 84812124 is 42121848.

It is a junction number, because it is equal to n+sod(n) for n = 84812091 and 84812100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84812129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 667749 + ... + 667875.

It is an arithmetic number, because the mean of its divisors is an integer number (2284800).

Almost surely, 284812124 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 84812124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109670400).

84812124 is an abundant number, since it is smaller than the sum of its proper divisors (134528676).

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

84812124 is a wasteful number, since it uses less digits than its factorization.

84812124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 84812124 is about 9209.3498141834. The cubic root of 84812124 is about 439.3587836338.

The spelling of 84812124 in words is "eighty-four million, eight hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 101 114 116 127 174 202 228 254 303 348 381 404 508 551 606 762 1102 1212 1524 1653 1919 2204 2413 2929 3306 3683 3838 4826 5757 5858 6612 7239 7366 7676 8787 9652 11049 11514 11716 12827 14478 14732 17574 22098 23028 25654 28956 35148 38481 44196 51308 55651 69977 76962 111302 139954 153924 166953 209931 222604 243713 279908 333906 371983 419862 487426 667812 731139 743966 839724 974852 1115949 1462278 1487932 2231898 2924556 4463796 7067677 14135354 21203031 28270708 42406062 84812124