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89008704 = 2632413769
BaseRepresentation
bin1010100111000…
…10101001000000
320012111002222200
411103202221000
5140241234304
612455433200
72130363411
oct523425100
9205432880
1089008704
1146274614
1225985800
1315595995
14bb6d808
157c32e39
hex54e2a40

89008704 has 84 divisors (see below), whose sum is σ = 261419340. Its totient is φ = 28938240.

The previous prime is 89008697. The next prime is 89008709. The reversal of 89008704 is 40780098.

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 53582400 = 5952^2 + 7320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (89008709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21732 + ... + 25500.

It is an arithmetic number, because the mean of its divisors is an integer number (3112135).

Almost surely, 289008704 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 89008704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130709670).

89008704 is an abundant number, since it is smaller than the sum of its proper divisors (172410636).

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

89008704 is a wasteful number, since it uses less digits than its factorization.

89008704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 89008704 is about 9434.4424318557. The cubic root of 89008704 is about 446.4890638186.

The spelling of 89008704 in words is "eighty-nine million, eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3769 3936 5904 7538 7872 11307 11808 15076 22614 23616 30152 33921 45228 60304 67842 90456 120608 135684 154529 180912 241216 271368 309058 361824 463587 542736 618116 723648 927174 1085472 1236232 1390761 1854348 2170944 2472464 2781522 3708696 4944928 5563044 7417392 9889856 11126088 14834784 22252176 29669568 44504352 89008704