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81023976 = 233711421
BaseRepresentation
bin1001101010001…
…01001111101000
312122110110000000
410311011033220
5131220231401
612012343000
72002456335
oct465051750
9178413000
1081023976
1141810570
1223174a60
1313a2b4a7
14aa9198c
1571a7186
hex4d453e8

81023976 has 128 divisors (see below), whose sum is σ = 249148800. Its totient is φ = 24494400.

The previous prime is 81023953. The next prime is 81024001. The reversal of 81023976 is 67932018.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 81023976.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 192246 + ... + 192666.

It is an arithmetic number, because the mean of its divisors is an integer number (1946475).

Almost surely, 281023976 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 81023976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124574400).

81023976 is an abundant number, since it is smaller than the sum of its proper divisors (168124824).

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

81023976 is a wasteful number, since it uses less digits than its factorization.

81023976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 81023976 is about 9001.3319014466. The cubic root of 81023976 is about 432.7175574681.

The spelling of 81023976 in words is "eighty-one million, twenty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 421 486 594 648 729 792 842 891 972 1188 1263 1458 1684 1782 1944 2187 2376 2526 2673 2916 3368 3564 3789 4374 4631 5052 5346 5832 7128 7578 8019 8748 9262 10104 10692 11367 13893 15156 16038 17496 18524 21384 22734 24057 27786 30312 32076 34101 37048 41679 45468 48114 55572 64152 68202 83358 90936 96228 102303 111144 125037 136404 166716 192456 204606 250074 272808 306909 333432 375111 409212 500148 613818 750222 818424 920727 1000296 1125333 1227636 1500444 1841454 2250666 2455272 3000888 3375999 3682908 4501332 6751998 7365816 9002664 10127997 13503996 20255994 27007992 40511988 81023976