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83903328 = 2532291331
BaseRepresentation
bin1010000000001…
…00001101100000
312211212201201200
411000010031200
5132434401303
612154201200
72036111055
oct500041540
9184781650
1083903328
11433a78a3
1224123200
13144c8c52
14b20102c
1575753a3
hex5004360

83903328 has 36 divisors (see below), whose sum is σ = 238600908. Its totient is φ = 27967680.

The previous prime is 83903299. The next prime is 83903341. The reversal of 83903328 is 82330938.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83903292 and 83903301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145378 + ... + 145953.

It is an arithmetic number, because the mean of its divisors is an integer number (6627803).

Almost surely, 283903328 is an apocalyptic number.

It is an amenable number.

83903328 is an abundant number, since it is smaller than the sum of its proper divisors (154697580).

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

83903328 is a wasteful number, since it uses less digits than its factorization.

83903328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291347 (or 291336 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 83903328 is about 9159.8759816932. The cubic root of 83903328 is about 437.7838428008.

The spelling of 83903328 in words is "eighty-three million, nine hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 291331 582662 873993 1165324 1747986 2330648 2621979 3495972 4661296 5243958 6991944 9322592 10487916 13983888 20975832 27967776 41951664 83903328