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83272805 = 572112532
BaseRepresentation
bin1001111011010…
…10010001100101
312210200200210222
410331222101211
5132304212210
612132454125
72030543600
oct475522145
9183620728
1083272805
1143007100
1223a7a345
1314337c65
14b0b9337
15749d655
hex4f6a465

83272805 has 54 divisors (see below), whose sum is σ = 130226418. Its totient is φ = 50930880.

The previous prime is 83272799. The next prime is 83272807. The reversal of 83272805 is 50827238.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 22791076 + 60481729 = 4774^2 + 7777^2 .

It is not a de Polignac number, because 83272805 - 26 = 83272741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83272807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1571159 + ... + 1571211.

Almost surely, 283272805 is an apocalyptic number.

It is an amenable number.

83272805 is a deficient number, since it is larger than the sum of its proper divisors (46953613).

83272805 is a wasteful number, since it uses less digits than its factorization.

83272805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 83272805 is about 9125.3934161766. The cubic root of 83272805 is about 436.6844540145.

It can be divided in two parts, 832 and 72805, that added together give a palindrome (73637).

The spelling of 83272805 in words is "eighty-three million, two hundred seventy-two thousand, eight hundred five".

Divisors: 1 5 7 11 35 49 53 55 77 121 245 265 371 385 539 583 605 847 1855 2597 2695 2809 2915 4081 4235 5929 6413 12985 14045 19663 20405 28567 29645 30899 32065 44891 98315 137641 142835 154495 216293 224455 314237 339889 688205 1081465 1514051 1571185 1699445 2379223 7570255 11896115 16654561 83272805