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81753696 = 2532319157
BaseRepresentation
bin1001101111101…
…11011001100000
312200211111222200
410313313121200
5131412104241
612040133200
72011615653
oct467673140
9180744880
1081753696
1142169842
1223467200
1313c2568b
14ac0189a
15729d4b6
hex4df7660

81753696 has 72 divisors (see below), whose sum is σ = 240012864. Its totient is φ = 26369280.

The previous prime is 81753691. The next prime is 81753701. The reversal of 81753696 is 69635718.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81753691) and next prime (81753701).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81753691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4350 + ... + 13506.

It is an arithmetic number, because the mean of its divisors is an integer number (3333512).

Almost surely, 281753696 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 81753696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120006432).

81753696 is an abundant number, since it is smaller than the sum of its proper divisors (158259168).

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

81753696 is a wasteful number, since it uses less digits than its factorization.

81753696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204 (or 9193 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 81753696 is about 9041.7750469695. The cubic root of 81753696 is about 434.0127272985.

The spelling of 81753696 in words is "eighty-one million, seven hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 9157 18314 27471 36628 54942 73256 82413 109884 146512 164826 219768 283867 293024 329652 439536 567734 659304 851601 879072 1135468 1318608 1703202 2270936 2554803 2637216 3406404 4541872 5109606 6812808 9083744 10219212 13625616 20438424 27251232 40876848 81753696