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81470976 = 293293159
BaseRepresentation
bin1001101101100…
…10011000000000
312200022011011120
410312302120000
5131324032401
612030112240
72006330466
oct466623000
9180264146
1081470976
1141a96394
122334b680
1313b56aa2
14ab6a836
157244836
hex4db2600

81470976 has 160 divisors (see below), whose sum is σ = 235699200. Its totient is φ = 24944640.

The previous prime is 81470971. The next prime is 81470989. The reversal of 81470976 is 67907418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81470971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380835 + ... + 1380893.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 281470976 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 81470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117849600).

81470976 is an abundant number, since it is smaller than the sum of its proper divisors (154228224).

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

81470976 is a wasteful number, since it uses less digits than its factorization.

81470976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 81470976 is about 9026.1274088061. The cubic root of 81470976 is about 433.5118496566.

The spelling of 81470976 in words is "eighty-one million, four hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 59 62 64 87 93 96 116 118 124 128 174 177 186 192 232 236 248 256 348 354 372 384 464 472 496 512 696 708 744 768 899 928 944 992 1392 1416 1488 1536 1711 1798 1829 1856 1888 1984 2697 2784 2832 2976 3422 3596 3658 3712 3776 3968 5133 5394 5487 5568 5664 5952 6844 7192 7316 7424 7552 7936 10266 10788 10974 11136 11328 11904 13688 14384 14632 14848 15104 15872 20532 21576 21948 22272 22656 23808 27376 28768 29264 30208 41064 43152 43896 44544 45312 47616 53041 54752 57536 58528 82128 86304 87792 90624 106082 109504 115072 117056 159123 164256 172608 175584 212164 219008 230144 234112 318246 328512 345216 351168 424328 438016 460288 468224 636492 657024 690432 702336 848656 876032 936448 1272984 1314048 1380864 1404672 1697312 2545968 2628096 2809344 3394624 5091936 6789248 10183872 13578496 20367744 27156992 40735488 81470976