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81211424 = 2575151
BaseRepresentation
bin1001101011100…
…11000000100000
312122210222010112
410311303000200
5131242231144
612020350452
72004200000
oct465630040
9178728115
1081211424
1141929388
1223245428
1313a958c8
14ab00000
1571e299e
hex4d73020

81211424 has 72 divisors (see below), whose sum is σ = 187766208. Its totient is φ = 34574400.

The previous prime is 81211421. The next prime is 81211439. The reversal of 81211424 is 42411218.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 81211424.

It is not an unprimeable number, because it can be changed into a prime (81211421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537749 + ... + 537899.

It is an arithmetic number, because the mean of its divisors is an integer number (2607864).

Almost surely, 281211424 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 81211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93883104).

81211424 is an abundant number, since it is smaller than the sum of its proper divisors (106554784).

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

81211424 is an frugal number, since it uses more digits than its factorization.

81211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 160 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 81211424 is about 9011.7381231370. The cubic root of 81211424 is about 433.0509960970.

The spelling of 81211424 in words is "eighty-one million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 151 196 224 302 343 392 604 686 784 1057 1208 1372 1568 2114 2401 2416 2744 4228 4802 4832 5488 7399 8456 9604 10976 14798 16807 16912 19208 29596 33614 33824 38416 51793 59192 67228 76832 103586 118384 134456 207172 236768 268912 362551 414344 537824 725102 828688 1450204 1657376 2537857 2900408 5075714 5800816 10151428 11601632 20302856 40605712 81211424