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81426072 = 233713231621
BaseRepresentation
bin1001101101001…
…11011010011000
312200012212120110
410312213122120
5131321113242
612025124320
72006052540
oct466473230
9180185513
1081426072
1141a65682
12233296a0
1313b3c510
14ab58320
15723639c
hex4da7698

81426072 has 128 divisors (see below), whose sum is σ = 261596160. Its totient is φ = 20528640.

The previous prime is 81426029. The next prime is 81426097. The reversal of 81426072 is 27062418.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49422 + ... + 51042.

It is an arithmetic number, because the mean of its divisors is an integer number (2043720).

Almost surely, 281426072 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 81426072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130798080).

81426072 is an abundant number, since it is smaller than the sum of its proper divisors (180170088).

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

81426072 is a wasteful number, since it uses less digits than its factorization.

81426072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 81426072 is about 9023.6396204636. The cubic root of 81426072 is about 433.4321894121.

The spelling of 81426072 in words is "eighty-one million, four hundred twenty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 23 24 26 28 39 42 46 52 56 69 78 84 91 92 104 138 156 161 168 182 184 273 276 299 312 322 364 483 546 552 598 644 728 897 966 1092 1196 1288 1621 1794 1932 2093 2184 2392 3242 3588 3864 4186 4863 6279 6484 7176 8372 9726 11347 12558 12968 16744 19452 21073 22694 25116 34041 37283 38904 42146 45388 50232 63219 68082 74566 84292 90776 111849 126438 136164 147511 149132 168584 223698 252876 260981 272328 295022 298264 442533 447396 484679 505752 521962 590044 782943 885066 894792 969358 1043924 1180088 1454037 1565886 1770132 1938716 2087848 2908074 3131772 3392753 3540264 3877432 5816148 6263544 6785506 10178259 11632296 13571012 20356518 27142024 40713036 81426072