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89731616 = 2513415261
BaseRepresentation
bin1010101100100…
…11001000100000
320020211211122012
411112103020200
5140432402431
612523132052
72136464132
oct526231040
9206754565
1089731616
1146718767
1226074028
1315789a40
14bcbb052
157d2722b
hex5593220

89731616 has 48 divisors (see below), whose sum is σ = 194925528. Its totient is φ = 40396800.

The previous prime is 89731573. The next prime is 89731619. The reversal of 89731616 is 61613798.

It can be written as a sum of positive squares in 4 ways, for example, as 48720400 + 41011216 = 6980^2 + 6404^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89731619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14426 + ... + 19686.

Almost surely, 289731616 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 89731616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97462764).

89731616 is an abundant number, since it is smaller than the sum of its proper divisors (105193912).

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

89731616 is a wasteful number, since it uses less digits than its factorization.

89731616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325 (or 5317 counting only the distinct ones).

The product of its digits is 54432, while the sum is 41.

The square root of 89731616 is about 9472.6773406466. The cubic root of 89731616 is about 447.6945728576.

The spelling of 89731616 in words is "eighty-nine million, seven hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 5261 8528 10522 17056 21044 42088 68393 84176 136786 168352 215701 273572 431402 547144 862804 1094288 1725608 2188576 2804113 3451216 5608226 6902432 11216452 22432904 44865808 89731616