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81993648 = 24311155291
BaseRepresentation
bin1001110001100…
…01111110110000
312201021201010210
410320301332300
5131442244043
612045224120
72013635352
oct470617660
9181251123
1081993648
1142313050
1223562040
1313caa969
14ac650d2
1572e9633
hex4e31fb0

81993648 has 40 divisors (see below), whose sum is σ = 231074496. Its totient is φ = 24846400.

The previous prime is 81993641. The next prime is 81993649. The reversal of 81993648 is 84639918.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 81993597 and 81993606.

It is not an unprimeable number, because it can be changed into a prime (81993641) 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, 77118 + ... + 78173.

Almost surely, 281993648 is an apocalyptic number.

81993648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

81993648 is an abundant number, since it is smaller than the sum of its proper divisors (149080848).

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

81993648 is a wasteful number, since it uses less digits than its factorization.

81993648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155313 (or 155307 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 81993648 is about 9055.0344008181. The cubic root of 81993648 is about 434.4369303415.

The spelling of 81993648 in words is "eighty-one million, nine hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 155291 310582 465873 621164 931746 1242328 1708201 1863492 2484656 3416402 3726984 5124603 6832804 7453968 10249206 13665608 20498412 27331216 40996824 81993648