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85533345 = 32519711409
BaseRepresentation
bin1010001100100…
…10001010100001
312221221112200200
411012102022201
5133344031340
612253135413
72056010232
oct506221241
9187845620
1085533345
1144310517
122478a569
1314949b61
14b507089
157798330
hex51922a1

85533345 has 48 divisors (see below), whose sum is σ = 158371200. Its totient is φ = 42577920.

The previous prime is 85533313. The next prime is 85533377. The reversal of 85533345 is 54333558.

85533345 is a `hidden beast` number, since 85 + 533 + 3 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (85533313) and next prime (85533377).

It is not a de Polignac number, because 85533345 - 25 = 85533313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60001 + ... + 61409.

It is an arithmetic number, because the mean of its divisors is an integer number (3299400).

Almost surely, 285533345 is an apocalyptic number.

It is an amenable number.

85533345 is a deficient number, since it is larger than the sum of its proper divisors (72837855).

85533345 is a wasteful number, since it uses less digits than its factorization.

85533345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1507 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 85533345 is about 9248.4239197822. The cubic root of 85533345 is about 440.6006689447.

The spelling of 85533345 in words is "eighty-five million, five hundred thirty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 71 95 171 213 285 355 639 855 1065 1349 1409 3195 4047 4227 6745 7045 12141 12681 20235 21135 26771 60705 63405 80313 100039 133855 240939 300117 401565 500195 900351 1204695 1500585 1900741 4501755 5702223 9503705 17106669 28511115 85533345