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83927988 = 2234377001
BaseRepresentation
bin1010000000010…
…10001110110100
312211220222120000
411000022032310
5132441143423
612154511300
72036243004
oct500121664
9184828500
1083927988
1143414381
1224135530
1314507241
14b20a004
15757c843
hex500a3b4

83927988 has 60 divisors (see below), whose sum is σ = 225366372. Its totient is φ = 27216000.

The previous prime is 83927983. The next prime is 83927999. The reversal of 83927988 is 88972938.

It can be written as a sum of positive squares in 2 ways, for example, as 57426084 + 26501904 = 7578^2 + 5148^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83927983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8488 + ... + 15488.

Almost surely, 283927988 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 83927988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112683186).

83927988 is an abundant number, since it is smaller than the sum of its proper divisors (141438384).

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

83927988 is a wasteful number, since it uses less digits than its factorization.

83927988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054 (or 7043 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 83927988 is about 9161.2219708945. The cubic root of 83927988 is about 437.8267282355.

The spelling of 83927988 in words is "eighty-three million, nine hundred twenty-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 7001 11988 14002 21003 28004 42006 63009 84012 126018 189027 252036 259037 378054 518074 567081 756108 777111 1036148 1134162 1554222 2268324 2331333 3108444 4662666 6993999 9325332 13987998 20981997 27975996 41963994 83927988