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89464680 = 233251811373
BaseRepresentation
bin1010101010100…
…01111101101000
320020100021110200
411111101331220
5140400332210
612513312200
72134302654
oct525217550
9206307420
1089464680
1146556158
1225b65660
13156c53a6
14bc4ba64
157cc30c0
hex5551f68

89464680 has 96 divisors (see below), whose sum is σ = 292579560. Its totient is φ = 23708160.

The previous prime is 89464679. The next prime is 89464703. The reversal of 89464680 is 8646498.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71470116 + 17994564 = 8454^2 + 4242^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64474 + ... + 65846.

Almost surely, 289464680 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 89464680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146289780).

89464680 is an abundant number, since it is smaller than the sum of its proper divisors (203114880).

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

89464680 is a wasteful number, since it uses less digits than its factorization.

89464680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 89464680 is about 9458.5770600022. The cubic root of 89464680 is about 447.2501940048.

The spelling of 89464680 in words is "eighty-nine million, four hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 181 360 362 543 724 905 1086 1373 1448 1629 1810 2172 2715 2746 3258 3620 4119 4344 5430 5492 6516 6865 7240 8145 8238 10860 10984 12357 13032 13730 16290 16476 20595 21720 24714 27460 32580 32952 41190 49428 54920 61785 65160 82380 98856 123570 164760 247140 248513 494280 497026 745539 994052 1242565 1491078 1988104 2236617 2485130 2982156 3727695 4473234 4970260 5964312 7455390 8946468 9940520 11183085 14910780 17892936 22366170 29821560 44732340 89464680