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89379648 = 2632198167
BaseRepresentation
bin1010101001111…
…01001101000000
320020011221211100
411110331031000
5140340122043
612511414400
72133500031
oct524751500
9206157740
1089379648
11464a8286
1225b24400
1315695787
14bc28a88
157ca7cd3
hex553d340

89379648 has 84 divisors (see below), whose sum is σ = 269707360. Its totient is φ = 28221696.

The previous prime is 89379623. The next prime is 89379649. The reversal of 89379648 is 84697398.

It is a junction number, because it is equal to n+sod(n) for n = 89379594 and 89379603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89379649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6861 + ... + 15027.

Almost surely, 289379648 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 89379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134853680).

89379648 is an abundant number, since it is smaller than the sum of its proper divisors (180327712).

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

89379648 is a wasteful number, since it uses less digits than its factorization.

89379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8204 (or 8191 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 89379648 is about 9454.0810235580. The cubic root of 89379648 is about 447.1084522820.

The spelling of 89379648 in words is "eighty-nine million, three hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 8167 10944 16334 24501 32668 49002 65336 73503 98004 130672 147006 155173 196008 261344 294012 310346 392016 465519 522688 588024 620692 784032 931038 1176048 1241384 1396557 1568064 1862076 2352096 2482768 2793114 3724152 4704192 4965536 5586228 7448304 9931072 11172456 14896608 22344912 29793216 44689824 89379648