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81354288 = 24397101173
BaseRepresentation
bin1001101100101…
…01111000110000
312200002020002210
410312111320300
5131311314123
612023412120
72005333341
oct466257060
9180066083
1081354288
1141a16754
12232b4040
1313b15942
14ab3a0c8
15721ee93
hex4d95e30

81354288 has 80 divisors (see below), whose sum is σ = 215673696. Its totient is φ = 26419200.

The previous prime is 81354283. The next prime is 81354307. The reversal of 81354288 is 88245318.

It is not an unprimeable number, because it can be changed into a prime (81354283) 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 15 ways as a sum of consecutive naturals, for example, 470170 + ... + 470342.

Almost surely, 281354288 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 81354288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107836848).

81354288 is an abundant number, since it is smaller than the sum of its proper divisors (134319408).

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

81354288 is a wasteful number, since it uses less digits than its factorization.

81354288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 81354288 is about 9019.6611909761. The cubic root of 81354288 is about 433.3047828659.

The spelling of 81354288 in words is "eighty-one million, three hundred fifty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 101 173 194 202 291 303 346 388 404 519 582 606 692 776 808 1038 1164 1212 1384 1552 1616 2076 2328 2424 2768 4152 4656 4848 8304 9797 16781 17473 19594 29391 33562 34946 39188 50343 52419 58782 67124 69892 78376 100686 104838 117564 134248 139784 156752 201372 209676 235128 268496 279568 402744 419352 470256 805488 838704 1694881 3389762 5084643 6779524 10169286 13559048 20338572 27118096 40677144 81354288