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81949452 = 223132172377
BaseRepresentation
bin1001110001001…
…11001100001100
312201012110111220
410320213030030
5131434340302
612044243340
72013362454
oct470471414
9181173456
1081949452
1142292922
1223540550
1313c93800
14ac52d64
1572db4bc
hex4e2730c

81949452 has 72 divisors (see below), whose sum is σ = 219327696. Its totient is φ = 23721984.

The previous prime is 81949327. The next prime is 81949453. The reversal of 81949452 is 25494918.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (81949453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33288 + ... + 35664.

It is an arithmetic number, because the mean of its divisors is an integer number (3046218).

Almost surely, 281949452 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 81949452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109663848).

81949452 is an abundant number, since it is smaller than the sum of its proper divisors (137378244).

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

81949452 is a wasteful number, since it uses less digits than its factorization.

81949452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2412 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 81949452 is about 9052.5936614873. The cubic root of 81949452 is about 434.3588599631.

The spelling of 81949452 in words is "eighty-one million, nine hundred forty-nine thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 663 676 884 1014 1326 2028 2377 2652 2873 4754 5746 7131 8619 9508 11492 14262 17238 28524 30901 34476 40409 61802 80818 92703 121227 123604 161636 185406 242454 370812 401713 484908 525317 803426 1050634 1205139 1575951 1606852 2101268 2410278 3151902 4820556 6303804 6829121 13658242 20487363 27316484 40974726 81949452