Search a number
-
+
89020848 = 243735407
BaseRepresentation
bin1010100111001…
…01100110110000
320012111201122110
411103211212300
5140242131343
612500005320
72130444000
oct523454660
9205451573
1089020848
1146282754
1225990840
131559b377
14bb74000
157c36833
hex54e59b0

89020848 has 80 divisors (see below), whose sum is σ = 268236800. Its totient is φ = 25429824.

The previous prime is 89020847. The next prime is 89020861. The reversal of 89020848 is 84802098.

It is a happy number.

It is a super-2 number, since 2×890208482 = 15849422757278208, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (89020843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13761 + ... + 19167.

It is an arithmetic number, because the mean of its divisors is an integer number (3352960).

Almost surely, 289020848 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 89020848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134118400).

89020848 is an abundant number, since it is smaller than the sum of its proper divisors (179215952).

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

89020848 is a wasteful number, since it uses less digits than its factorization.

89020848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 89020848 is about 9435.0860091469. The cubic root of 89020848 is about 446.5093686366.

The spelling of 89020848 in words is "eighty-nine million, twenty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5407 5488 8232 10814 16221 16464 21628 32442 37849 43256 64884 75698 86512 113547 129768 151396 227094 259536 264943 302792 454188 529886 605584 794829 908376 1059772 1589658 1816752 1854601 2119544 3179316 3709202 4239088 5563803 6358632 7418404 11127606 12717264 14836808 22255212 29673616 44510424 89020848