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83427040 = 2552272297
BaseRepresentation
bin1001111100011…
…11111011100000
312210222112101101
410332033323200
5132324131130
612140044144
72032055344
oct476177340
9183875341
1083427040
1143101a74
1223b33654
1314390218
14b119624
1574ce1ca
hex4f8fee0

83427040 has 48 divisors (see below), whose sum is σ = 198050832. Its totient is φ = 33209344.

The previous prime is 83427031. The next prime is 83427061. The reversal of 83427040 is 4072438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35172 + ... + 37468.

It is an arithmetic number, because the mean of its divisors is an integer number (4126059).

Almost surely, 283427040 is an apocalyptic number.

83427040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99025416).

83427040 is an abundant number, since it is smaller than the sum of its proper divisors (114623792).

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

83427040 is a wasteful number, since it uses less digits than its factorization.

83427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 83427040 is about 9133.8403752201. The cubic root of 83427040 is about 436.9538916664.

Adding to 83427040 its reverse (4072438), we get a palindrome (87499478).

The spelling of 83427040 in words is "eighty-three million, four hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 454 908 1135 1816 2270 2297 3632 4540 4594 7264 9080 9188 11485 18160 18376 22970 36320 36752 45940 73504 91880 183760 367520 521419 1042838 2085676 2607095 4171352 5214190 8342704 10428380 16685408 20856760 41713520 83427040