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84253932 = 2235722961
BaseRepresentation
bin1010000010110…
…01110011101100
312212112112200000
411001121303230
5133032111212
612205504300
72042101200
oct501316354
9185475600
1084253932
1143617254
1224272090
13145bc6c9
14b292b00
1575e41dc
hex5059cec

84253932 has 216 divisors, whose sum is σ = 270138960. Its totient is φ = 22861440.

The previous prime is 84253931. The next prime is 84253937. The reversal of 84253932 is 23935248.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84253931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1381182 + ... + 1381242.

Almost surely, 284253932 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 84253932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135069480).

84253932 is an abundant number, since it is smaller than the sum of its proper divisors (185885028).

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

84253932 is a wasteful number, since it uses less digits than its factorization.

84253932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 84253932 is about 9178.9940625321. The cubic root of 84253932 is about 438.3927795865.

It can be divided in two parts, 84 and 253932, that added together give a square (254016 = 5042).

The spelling of 84253932 in words is "eighty-four million, two hundred fifty-three thousand, nine hundred thirty-two".