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80522676 = 2232131729349
BaseRepresentation
bin1001100110010…
…10110110110100
312121111222100100
410303022312310
5131103211201
611553514100
71665300663
oct463126664
9177458310
1080522676
11414a8973
1222b72930
13138b4270
14a9a0dda
157108886
hex4ccadb4

80522676 has 144 divisors (see below), whose sum is σ = 240786000. Its totient is φ = 22450176.

The previous prime is 80522671. The next prime is 80522681. The reversal of 80522676 is 67622508.

It is an interprime number because it is at equal distance from previous prime (80522671) and next prime (80522681).

It can be written as a sum of positive squares in 8 ways, for example, as 599076 + 79923600 = 774^2 + 8940^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 80522676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80522671) 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, 230550 + ... + 230898.

It is an arithmetic number, because the mean of its divisors is an integer number (1672125).

Almost surely, 280522676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80522676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120393000).

80522676 is an abundant number, since it is smaller than the sum of its proper divisors (160263324).

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

80522676 is a wasteful number, since it uses less digits than its factorization.

80522676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 80522676 is about 8973.4428175589. The cubic root of 80522676 is about 431.8232944997.

The spelling of 80522676 in words is "eighty million, five hundred twenty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 29 34 36 39 51 52 58 68 78 87 102 116 117 153 156 174 204 221 234 261 306 348 349 377 442 468 493 522 612 663 698 754 884 986 1044 1047 1131 1326 1396 1479 1508 1972 1989 2094 2262 2652 2958 3141 3393 3978 4188 4437 4524 4537 5916 5933 6282 6409 6786 7956 8874 9074 10121 11866 12564 12818 13572 13611 17748 17799 18148 19227 20242 23732 25636 27222 30363 35598 38454 40484 40833 53397 54444 57681 60726 71196 76908 77129 81666 91089 106794 115362 121452 131573 154258 163332 172057 182178 213588 230724 231387 263146 308516 344114 364356 394719 462774 516171 526292 688228 694161 789438 925548 1032342 1184157 1388322 1548513 1578876 2064684 2236741 2368314 2776644 3097026 4473482 4736628 6194052 6710223 8946964 13420446 20130669 26840892 40261338 80522676