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89493552 = 2433239007
BaseRepresentation
bin1010101010110…
…01000000110000
320020101202002000
411111121000300
5140402243202
612514054000
72134453101
oct525310060
9206352060
1089493552
1146575915
1225b7a300
1315705585
14bc583a8
157ccb91c
hex5559030

89493552 has 80 divisors (see below), whose sum is σ = 268078080. Its totient is φ = 28531008.

The previous prime is 89493541. The next prime is 89493557. The reversal of 89493552 is 25539498.

89493552 is a `hidden beast` number, since 8 + 9 + 4 + 93 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 89493498 and 89493507.

It is not an unprimeable number, because it can be changed into a prime (89493557) 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, 5433 + ... + 14439.

It is an arithmetic number, because the mean of its divisors is an integer number (3350976).

Almost surely, 289493552 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 89493552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134039040).

89493552 is an abundant number, since it is smaller than the sum of its proper divisors (178584528).

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

89493552 is a wasteful number, since it uses less digits than its factorization.

89493552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9047 (or 9035 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 89493552 is about 9460.1031706848. The cubic root of 89493552 is about 447.2983009551.

The spelling of 89493552 in words is "eighty-nine million, four hundred ninety-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9007 9936 18014 27021 36028 54042 72056 81063 108084 144112 162126 207161 216168 243189 324252 414322 432336 486378 621483 648504 828644 972756 1242966 1297008 1657288 1864449 1945512 2485932 3314576 3728898 3891024 4971864 5593347 7457796 9943728 11186694 14915592 22373388 29831184 44746776 89493552