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81769408 = 267374933
BaseRepresentation
bin1001101111110…
…11001111000000
312200212022112121
410313323033000
5131413110113
612040334024
72012012530
oct467731700
9180768477
1081769408
114217a626
1223474314
1313c2c886
14ac074c0
1572a2e8d
hex4dfb3c0

81769408 has 56 divisors (see below), whose sum is σ = 190491872. Its totient is φ = 34089984.

The previous prime is 81769403. The next prime is 81769421. The reversal of 81769408 is 80496718.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81769403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14110 + ... + 19042.

Almost surely, 281769408 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 81769408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95245936).

81769408 is an abundant number, since it is smaller than the sum of its proper divisors (108722464).

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

81769408 is a wasteful number, since it uses less digits than its factorization.

81769408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 81769408 is about 9042.6438611725. The cubic root of 81769408 is about 434.0405293898.

It can be divided in two parts, 817 and 69408, that added together give a square (70225 = 2652).

The spelling of 81769408 in words is "eighty-one million, seven hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 1036 1184 2072 2368 4144 4933 8288 9866 16576 19732 34531 39464 69062 78928 138124 157856 182521 276248 315712 365042 552496 730084 1104992 1277647 1460168 2209984 2555294 2920336 5110588 5840672 10221176 11681344 20442352 40884704 81769408