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89602416 = 2433211983
BaseRepresentation
bin1010101011100…
…11100101110000
320020121021102000
411111303211300
5140414234131
612520254000
72135415351
oct525634560
9206537360
1089602416
114663a692
1226011300
1315742ca7
14bc85d28
157cedce6
hex5573970

89602416 has 80 divisors (see below), whose sum is σ = 258673920. Its totient is φ = 29695680.

The previous prime is 89602399. The next prime is 89602417. The reversal of 89602416 is 61420698.

89602416 is a `hidden beast` number, since 8 + 9 + 602 + 41 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89602417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90661 + ... + 91643.

It is an arithmetic number, because the mean of its divisors is an integer number (3233424).

Almost surely, 289602416 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 89602416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129336960).

89602416 is an abundant number, since it is smaller than the sum of its proper divisors (169071504).

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

89602416 is a wasteful number, since it uses less digits than its factorization.

89602416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89602416 is about 9465.8552703916. The cubic root of 89602416 is about 447.4795987495.

The spelling of 89602416 in words is "eighty-nine million, six hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 211 216 422 432 633 844 983 1266 1688 1899 1966 2532 2949 3376 3798 3932 5064 5697 5898 7596 7864 8847 10128 11394 11796 15192 15728 17694 22788 23592 26541 30384 35388 45576 47184 53082 70776 91152 106164 141552 207413 212328 414826 424656 622239 829652 1244478 1659304 1866717 2488956 3318608 3733434 4977912 5600151 7466868 9955824 11200302 14933736 22400604 29867472 44801208 89602416