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88893648 = 24325910463
BaseRepresentation
bin1010100110001…
…10100011010000
320012021021011100
411103012203100
5140224044043
612453144400
72126404104
oct523064320
9205237140
1088893648
11461a6128
122592b100
13155554bc
14bb3d904
157c0dcd3
hex54c68d0

88893648 has 60 divisors (see below), whose sum is σ = 253019520. Its totient is φ = 29126208.

The previous prime is 88893631. The next prime is 88893659. The reversal of 88893648 is 84639888.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 88893594 and 88893603.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3265 + ... + 13727.

It is an arithmetic number, because the mean of its divisors is an integer number (4216992).

Almost surely, 288893648 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 88893648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126509760).

88893648 is an abundant number, since it is smaller than the sum of its proper divisors (164125872).

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

88893648 is a wasteful number, since it uses less digits than its factorization.

88893648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10527 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 88893648 is about 9428.3428024229. The cubic root of 88893648 is about 446.2965980104.

The spelling of 88893648 in words is "eighty-eight million, eight hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 8496 10463 20926 31389 41852 62778 83704 94167 125556 167408 188334 251112 376668 502224 617317 753336 1234634 1506672 1851951 2469268 3703902 4938536 5555853 7407804 9877072 11111706 14815608 22223412 29631216 44446824 88893648