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89238480 = 2435715237
BaseRepresentation
bin1010101000110…
…10101111010000
320012220210011220
411110122233100
5140321112410
612504405040
72132341332
oct524325720
9205823156
1089238480
1146411211
1225a76780
1315646446
14bbcd452
157c7b070
hex551abd0

89238480 has 80 divisors (see below), whose sum is σ = 280589184. Its totient is φ = 23457280.

The previous prime is 89238451. The next prime is 89238493. The reversal of 89238480 is 8483298.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 14422 + ... + 19658.

Almost surely, 289238480 is an apocalyptic number.

89238480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89238480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140294592).

89238480 is an abundant number, since it is smaller than the sum of its proper divisors (191350704).

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

89238480 is a wasteful number, since it uses less digits than its factorization.

89238480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 89238480 is about 9446.6120911150. The cubic root of 89238480 is about 446.8729375750.

The spelling of 89238480 in words is "eighty-nine million, two hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5237 5680 8520 10474 15711 17040 20948 26185 31422 41896 52370 62844 78555 83792 104740 125688 157110 209480 251376 314220 371827 418960 628440 743654 1115481 1256880 1487308 1859135 2230962 2974616 3718270 4461924 5577405 5949232 7436540 8923848 11154810 14873080 17847696 22309620 29746160 44619240 89238480