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84212541 = 347197817
BaseRepresentation
bin1010000010011…
…11101100111101
312212110102220000
411001033230331
5133024300131
612204544513
72041536420
oct501175475
9185412800
1084212541
1143599146
1224252139
13145a690a
14b2819b7
1575d6ce6
hex504fb3d

84212541 has 40 divisors (see below), whose sum is σ = 151356480. Its totient is φ = 45582912.

The previous prime is 84212539. The next prime is 84212561. The reversal of 84212541 is 14521248.

It is not a de Polignac number, because 84212541 - 21 = 84212539 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84212521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6865 + ... + 14681.

It is an arithmetic number, because the mean of its divisors is an integer number (3783912).

Almost surely, 284212541 is an apocalyptic number.

84212541 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

84212541 is a deficient number, since it is larger than the sum of its proper divisors (67143939).

84212541 is a wasteful number, since it uses less digits than its factorization.

84212541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855 (or 7846 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 84212541 is about 9176.7391267269. The cubic root of 84212541 is about 438.3209788316.

Adding to 84212541 its reverse (14521248), we get a palindrome (98733789).

The spelling of 84212541 in words is "eighty-four million, two hundred twelve thousand, five hundred forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3591 7817 10773 23451 54719 70353 148523 164157 211059 445569 492471 633177 1039661 1336707 1477413 3118983 4010121 4432239 9356949 12030363 28070847 84212541