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81748512 = 25321759283
BaseRepresentation
bin1001101111101…
…10001000100000
312200211020212200
410313312020200
5131411423022
612040053200
72011564566
oct467661040
9180736780
1081748512
114216595a
1223464200
1313c23201
14abdda36
15729bbac
hex4df6220

81748512 has 144 divisors (see below), whose sum is σ = 251203680. Its totient is φ = 25122816.

The previous prime is 81748501. The next prime is 81748523. The reversal of 81748512 is 21584718.

It is an interprime number because it is at equal distance from previous prime (81748501) and next prime (81748523).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288723 + ... + 289005.

It is an arithmetic number, because the mean of its divisors is an integer number (1744470).

Almost surely, 281748512 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 81748512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125601840).

81748512 is an abundant number, since it is smaller than the sum of its proper divisors (169455168).

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

81748512 is a wasteful number, since it uses less digits than its factorization.

81748512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 81748512 is about 9041.4883730501. The cubic root of 81748512 is about 434.0035535255.

The spelling of 81748512 in words is "eighty-one million, seven hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 59 68 72 96 102 118 136 144 153 177 204 236 272 283 288 306 354 408 472 531 544 566 612 708 816 849 944 1003 1062 1132 1224 1416 1632 1698 1888 2006 2124 2264 2448 2547 2832 3009 3396 4012 4248 4528 4811 4896 5094 5664 6018 6792 8024 8496 9027 9056 9622 10188 12036 13584 14433 16048 16697 16992 18054 19244 20376 24072 27168 28866 32096 33394 36108 38488 40752 43299 48144 50091 57732 66788 72216 76976 81504 86598 96288 100182 115464 133576 144432 150273 153952 173196 200364 230928 267152 283849 288864 300546 346392 400728 461856 534304 567698 601092 692784 801456 851547 1135396 1202184 1385568 1602912 1703094 2270792 2404368 2554641 3406188 4541584 4808736 5109282 6812376 9083168 10218564 13624752 20437128 27249504 40874256 81748512