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80933985 = 3451137491
BaseRepresentation
bin1001101001011…
…11010001100001
312122021212120000
410310233101201
5131204341420
612010410213
72001633066
oct464572141
9178255500
1080933985
11417599a0
1223130969
13139c9542
14aa6ac6d
15718a690
hex4d2f461

80933985 has 80 divisors (see below), whose sum is σ = 162879552. Its totient is φ = 38102400.

The previous prime is 80933981. The next prime is 80933989. The reversal of 80933985 is 58933908.

It is an interprime number because it is at equal distance from previous prime (80933981) and next prime (80933989).

It is not a de Polignac number, because 80933985 - 22 = 80933981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 80933985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80933981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 164590 + ... + 165080.

Almost surely, 280933985 is an apocalyptic number.

It is an amenable number.

80933985 is an abundant number, since it is smaller than the sum of its proper divisors (81945567).

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

80933985 is a wasteful number, since it uses less digits than its factorization.

80933985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 80933985 is about 8996.3317524422. The cubic root of 80933985 is about 432.5572958052.

It can be divided in two parts, 80933 and 985, that added together give a palindrome (81918).

The spelling of 80933985 in words is "eighty million, nine hundred thirty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 81 99 111 135 165 185 297 333 405 407 491 495 555 891 999 1221 1473 1485 1665 2035 2455 2997 3663 4419 4455 4995 5401 6105 7365 10989 13257 14985 16203 18167 18315 22095 27005 32967 39771 48609 54501 54945 66285 81015 90835 145827 163503 164835 198855 199837 243045 272505 437481 490509 599511 729135 817515 999185 1471527 1798533 2187405 2452545 2997555 5395599 7357635 8992665 16186797 26977995 80933985