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89899632 = 243471977
BaseRepresentation
bin1010101101111…
…00001001110000
320021011101010000
411112330021300
5141003242012
612530510000
72141064024
oct526741160
9207141100
1089899632
1146822a19
1226135300
1315818364
14bd22384
157d5bddc
hex55bc270

89899632 has 100 divisors (see below), whose sum is σ = 264130416. Its totient is φ = 29514240.

The previous prime is 89899577. The next prime is 89899633. The reversal of 89899632 is 23699898.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89899633) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 91528 + ... + 92504.

Almost surely, 289899632 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 89899632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132065208).

89899632 is an abundant number, since it is smaller than the sum of its proper divisors (174230784).

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

89899632 is a wasteful number, since it uses less digits than its factorization.

89899632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1053 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 89899632 is about 9481.5416467998. The cubic root of 89899632 is about 447.9738239383.

The spelling of 89899632 in words is "eighty-nine million, eight hundred ninety-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 568 639 648 852 977 1136 1278 1296 1704 1917 1954 2556 2931 3408 3834 3908 5112 5751 5862 7668 7816 8793 10224 11502 11724 15336 15632 17586 23004 23448 26379 30672 35172 46008 46896 52758 69367 70344 79137 92016 105516 138734 140688 158274 208101 211032 277468 316548 416202 422064 554936 624303 633096 832404 1109872 1248606 1266192 1664808 1872909 2497212 3329616 3745818 4994424 5618727 7491636 9988848 11237454 14983272 22474908 29966544 44949816 89899632