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83745852 = 223232910463
BaseRepresentation
bin1001111110111…
…01110000111100
312211120201201020
410333131300330
5132414331402
612150544140
72034554001
oct477356074
9184521636
1083745852
11432aa553
1224068050
1314472378
14b19d8a8
1575438bc
hex4fddc3c

83745852 has 48 divisors (see below), whose sum is σ = 210954240. Its totient is φ = 25778368.

The previous prime is 83745847. The next prime is 83745853. The reversal of 83745852 is 25854738.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83745853) 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 15 ways as a sum of consecutive naturals, for example, 2773 + ... + 13235.

It is an arithmetic number, because the mean of its divisors is an integer number (4394880).

Almost surely, 283745852 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 83745852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105477120).

83745852 is an abundant number, since it is smaller than the sum of its proper divisors (127208388).

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

83745852 is a wasteful number, since it uses less digits than its factorization.

83745852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522 (or 10520 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 83745852 is about 9151.2759766057. The cubic root of 83745852 is about 437.5097828561.

The spelling of 83745852 in words is "eighty-three million, seven hundred forty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 4002 8004 10463 20926 31389 41852 62778 125556 240649 303427 481298 606854 721947 910281 962596 1213708 1443894 1820562 2887788 3641124 6978821 13957642 20936463 27915284 41872926 83745852