Search a number
-
+
89037648 = 24327194649
BaseRepresentation
bin1010100111010…
…01101101010000
320012112120200200
411103221231100
5140243201043
612500215200
72130543660
oct523515520
9205476620
1089037648
1146294337
122599a500
13155a5bcb
14bb7a1a0
157c3b7d3
hex54e9b50

89037648 has 120 divisors (see below), whose sum is σ = 299832000. Its totient is φ = 24095232.

The previous prime is 89037607. The next prime is 89037659. The reversal of 89037648 is 84673098.

It is a happy number.

It is a super-2 number, since 2×890376482 = 15855405522743808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16828 + ... + 21476.

It is an arithmetic number, because the mean of its divisors is an integer number (2498600).

Almost surely, 289037648 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 89037648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149916000).

89037648 is an abundant number, since it is smaller than the sum of its proper divisors (210794352).

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

89037648 is a wasteful number, since it uses less digits than its factorization.

89037648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 89037648 is about 9435.9762610977. The cubic root of 89037648 is about 446.5374552617.

The spelling of 89037648 in words is "eighty-nine million, thirty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4649 4788 6384 9298 9576 13947 18596 19152 27894 32543 37192 41841 55788 65086 74384 83682 88331 97629 111576 130172 167364 176662 195258 223152 260344 264993 292887 334728 353324 390516 520688 529986 585774 618317 669456 706648 781032 794979 1059972 1171548 1236634 1413296 1562064 1589958 1854951 2119944 2343096 2473268 3179916 3709902 4239888 4686192 4946536 5564853 6359832 7419804 9893072 11129706 12719664 14839608 22259412 29679216 44518824 89037648