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81619648 = 2611191607
BaseRepresentation
bin1001101110101…
…10101011000000
312200120201002221
410313112223000
5131343312043
612033220424
72010520105
oct467265300
9180521087
1081619648
1142088060
1223401714
1313ba9666
14aba8aac
1572738ed
hex4dd6ac0

81619648 has 56 divisors (see below), whose sum is σ = 177905664. Its totient is φ = 36844800.

The previous prime is 81619613. The next prime is 81619723. The reversal of 81619648 is 84691618.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134161 + ... + 134767.

Almost surely, 281619648 is an apocalyptic number.

81619648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81619648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88952832).

81619648 is an abundant number, since it is smaller than the sum of its proper divisors (96286016).

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

81619648 is a wasteful number, since it uses less digits than its factorization.

81619648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 811 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The square root of 81619648 is about 9034.3593021309. The cubic root of 81619648 is about 433.7753868987.

The spelling of 81619648 in words is "eighty-one million, six hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 191 352 382 607 704 764 1214 1528 2101 2428 3056 4202 4856 6112 6677 8404 9712 12224 13354 16808 19424 26708 33616 38848 53416 67232 106832 115937 134464 213664 231874 427328 463748 927496 1275307 1854992 2550614 3709984 5101228 7419968 10202456 20404912 40809824 81619648