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81697792 = 210117253
BaseRepresentation
bin1001101111010…
…01110000000000
312200201200022011
410313221300000
5131403312132
612035022304
72011263661
oct467516000
9180650264
1081697792
1142130840
122343a994
1313c060b7
14abc9368
15728bb47
hex4de9c00

81697792 has 44 divisors (see below), whose sum is σ = 178187256. Its totient is φ = 37130240.

The previous prime is 81697747. The next prime is 81697799. The reversal of 81697792 is 29779618.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81697799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7638 + ... + 14890.

Almost surely, 281697792 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 81697792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89093628).

81697792 is an abundant number, since it is smaller than the sum of its proper divisors (96489464).

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

81697792 is a wasteful number, since it uses less digits than its factorization.

81697792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7266 counting only the distinct ones).

The product of its digits is 381024, while the sum is 49.

The square root of 81697792 is about 9038.6830899197. The cubic root of 81697792 is about 433.9137773173.

The spelling of 81697792 in words is "eighty-one million, six hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 7253 11264 14506 29012 58024 79783 116048 159566 232096 319132 464192 638264 928384 1276528 1856768 2553056 3713536 5106112 7427072 10212224 20424448 40848896 81697792