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83055441 = 37219131227
BaseRepresentation
bin1001111001101…
…01001101010001
312210021122122110
410330311031101
5132230233231
612124055533
72025650100
oct474651521
9183248573
1083055441
1142978867
12239945a9
1314290041
14b060037
157459046
hex4f35351

83055441 has 48 divisors (see below), whose sum is σ = 137237760. Its totient is φ = 44422560.

The previous prime is 83055359. The next prime is 83055443. The reversal of 83055441 is 14455038.

It is not a de Polignac number, because 83055441 - 29 = 83054929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83055399 and 83055408.

It is not an unprimeable number, because it can be changed into a prime (83055443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365770 + ... + 365996.

It is an arithmetic number, because the mean of its divisors is an integer number (2859120).

Almost surely, 283055441 is an apocalyptic number.

It is an amenable number.

83055441 is a deficient number, since it is larger than the sum of its proper divisors (54182319).

83055441 is a wasteful number, since it uses less digits than its factorization.

83055441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 83055441 is about 9113.4757913762. The cubic root of 83055441 is about 436.3041690466.

The spelling of 83055441 in words is "eighty-three million, fifty-five thousand, four hundred forty-one".

Divisors: 1 3 7 19 21 49 57 131 133 147 227 393 399 681 917 931 1589 2489 2751 2793 4313 4767 6419 7467 11123 12939 17423 19257 29737 30191 33369 52269 89211 90573 121961 208159 211337 365883 565003 624477 634011 1457113 1695009 3955021 4371339 11865063 27685147 83055441