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89780490 = 23251079323
BaseRepresentation
bin1010101100111…
…11000100001010
320020221022200100
411112133010022
5140440433430
612524150230
72140056462
oct526370412
9206838610
1089780490
1146751458
1226098376
13157a6067
14bcd0ba2
157d36960
hex559f10a

89780490 has 48 divisors (see below), whose sum is σ = 235636128. Its totient is φ = 23715168.

The previous prime is 89780489. The next prime is 89780503. The reversal of 89780490 is 9408798.

89780490 is a `hidden beast` number, since 89 + 7 + 80 + 490 = 666.

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

It is a Curzon 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, 4969 + ... + 14291.

It is an arithmetic number, because the mean of its divisors is an integer number (4909086).

Almost surely, 289780490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89780490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117818064).

89780490 is an abundant number, since it is smaller than the sum of its proper divisors (145855638).

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

89780490 is a wasteful number, since it uses less digits than its factorization.

89780490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9440 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 89780490 is about 9475.2567247542. The cubic root of 89780490 is about 447.7758398408.

The spelling of 89780490 in words is "eighty-nine million, seven hundred eighty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 3210 4815 9323 9630 18646 27969 46615 55938 83907 93230 139845 167814 279690 419535 839070 997561 1995122 2992683 4987805 5985366 8978049 9975610 14963415 17956098 29926830 44890245 89780490