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84137408 = 263735531
BaseRepresentation
bin1010000001111…
…01010111000000
312212022121211022
411000331113000
5133014344113
612203205012
72041104365
oct500752700
9185277738
1084137408
1143547753
1224216768
131457b664
14b26246c
1575be908
hex503d5c0

84137408 has 28 divisors (see below), whose sum is σ = 171477432. Its totient is φ = 40930560.

The previous prime is 84137407. The next prime is 84137413. The reversal of 84137408 is 80473148.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84137407) 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 3 ways as a sum of consecutive naturals, for example, 15398 + ... + 20133.

It is an arithmetic number, because the mean of its divisors is an integer number (6124194).

Almost surely, 284137408 is an apocalyptic number.

It is an amenable number.

84137408 is an abundant number, since it is smaller than the sum of its proper divisors (87340024).

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

84137408 is a wasteful number, since it uses less digits than its factorization.

84137408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35580 (or 35570 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 84137408 is about 9172.6445477845. The cubic root of 84137408 is about 438.1905858661.

The spelling of 84137408 in words is "eighty-four million, one hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 35531 71062 142124 284248 568496 1136992 1314647 2273984 2629294 5258588 10517176 21034352 42068704 84137408