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83576077 = 133109349
BaseRepresentation
bin1001111101101…
…00010100001101
312211021002211021
410332310110031
5132343413302
612143154141
72033246014
oct476642415
9184232737
1083576077
11431a3a42
1223ba5951
1314413000
14b157a7b
15750d437
hex4fb450d

83576077 has 16 divisors (see below), whose sum is σ = 91630000. Its totient is φ = 76220352.

The previous prime is 83576027. The next prime is 83576107. The reversal of 83576077 is 77067538.

It can be written as a sum of positive squares in 8 ways, for example, as 39300361 + 44275716 = 6269^2 + 6654^2 .

It is a de Polignac number, because none of the positive numbers 2k-83576077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83576027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239299 + ... + 239647.

It is an arithmetic number, because the mean of its divisors is an integer number (5726875).

Almost surely, 283576077 is an apocalyptic number.

It is an amenable number.

83576077 is a deficient number, since it is larger than the sum of its proper divisors (8053923).

83576077 is a wasteful number, since it uses less digits than its factorization.

83576077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The square root of 83576077 is about 9141.9952417402. The cubic root of 83576077 is about 437.2139334813.

The spelling of 83576077 in words is "eighty-three million, five hundred seventy-six thousand, seventy-seven".

Divisors: 1 13 109 169 349 1417 2197 4537 18421 38041 58981 239473 494533 766753 6428929 83576077