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81444870 = 232513151461
BaseRepresentation
bin1001101101011…
…00000000000110
312200020211100200
410312230000012
5131322213440
612025351330
72006161413
oct466540006
9180224320
1081444870
1141a78811
1223338546
1313b47c40
14ab6110a
15723bc30
hex4dac006

81444870 has 96 divisors (see below), whose sum is σ = 230053824. Its totient is φ = 19872000.

The previous prime is 81444851. The next prime is 81444889. The reversal of 81444870 is 7844418.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81444851) and next prime (81444889).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176440 + ... + 176900.

It is an arithmetic number, because the mean of its divisors is an integer number (2396394).

Almost surely, 281444870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81444870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115026912).

81444870 is an abundant number, since it is smaller than the sum of its proper divisors (148608954).

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

81444870 is a wasteful number, since it uses less digits than its factorization.

81444870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 81444870 is about 9024.6811578028. The cubic root of 81444870 is about 433.4655408567.

The spelling of 81444870 in words is "eighty-one million, four hundred forty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 151 195 234 302 390 453 461 585 755 906 922 1170 1359 1383 1510 1963 2265 2305 2718 2766 3926 4149 4530 4610 5889 5993 6795 6915 8298 9815 11778 11986 13590 13830 17667 17979 19630 20745 29445 29965 35334 35958 41490 53937 58890 59930 69611 88335 89895 107874 139222 176670 179790 208833 269685 348055 417666 539370 626499 696110 904943 1044165 1252998 1809886 2088330 2714829 3132495 4524715 5429658 6264990 8144487 9049430 13574145 16288974 27148290 40722435 81444870