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83745252 = 2234436011
BaseRepresentation
bin1001111110111…
…01100111100100
312211120200220000
410333131213210
5132414322002
612150541300
72034552153
oct477354744
9184520800
1083745252
11432aa058
1224067830
1314472006
14b19d59a
15754361c
hex4fdd9e4

83745252 has 60 divisors (see below), whose sum is σ = 224055216. Its totient is φ = 27261360.

The previous prime is 83745251. The next prime is 83745269. The reversal of 83745252 is 25254738.

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 (83745251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10927 + ... + 16937.

Almost surely, 283745252 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 83745252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112027608).

83745252 is an abundant number, since it is smaller than the sum of its proper divisors (140309964).

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

83745252 is a wasteful number, since it uses less digits than its factorization.

83745252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070 (or 6059 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 83745252 is about 9151.2431942332. The cubic root of 83745252 is about 437.5087380023.

The spelling of 83745252 in words is "eighty-three million, seven hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 2322 3483 4644 6011 6966 12022 13932 18033 24044 36066 54099 72132 108198 162297 216396 258473 324594 486891 516946 649188 775419 973782 1033892 1550838 1947564 2326257 3101676 4652514 6978771 9305028 13957542 20936313 27915084 41872626 83745252