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83428148 = 2253974057
BaseRepresentation
bin1001111100100…
…00001100110100
312210222120220102
410332100030310
5132324200043
612140053232
72032061516
oct476201464
9183876812
1083428148
1143102891
1223b34218
131439088b
14b119bb6
1574ce6b8
hex4f90334

83428148 has 24 divisors (see below), whose sum is σ = 150324552. Its totient is φ = 40495104.

The previous prime is 83428109. The next prime is 83428159. The reversal of 83428148 is 84182438.

It can be written as a sum of positive squares in 4 ways, for example, as 18335524 + 65092624 = 4282^2 + 8068^2 .

It is a super-3 number, since 3×834281483 (a number of 25 digits) contains 333 as substring.

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, 18536 + ... + 22592.

It is an arithmetic number, because the mean of its divisors is an integer number (6263523).

Almost surely, 283428148 is an apocalyptic number.

It is an amenable number.

83428148 is a deficient number, since it is larger than the sum of its proper divisors (66896404).

83428148 is a wasteful number, since it uses less digits than its factorization.

83428148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211 (or 4209 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 83428148 is about 9133.9010285858. The cubic root of 83428148 is about 436.9558260623.

It can be divided in two parts, 834 and 28148, that added together give a palindrome (28982).

The spelling of 83428148 in words is "eighty-three million, four hundred twenty-eight thousand, one hundred forty-eight".

Divisors: 1 2 4 53 97 106 194 212 388 4057 5141 8114 10282 16228 20564 215021 393529 430042 787058 860084 1574116 20857037 41714074 83428148