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89920644 = 22311798623
BaseRepresentation
bin1010101110000…
…01010010000100
320021012102221020
411113001102010
5141004430034
612531151140
72141212212
oct527012204
9207172836
1089920644
1146837790
12261454b0
1315824aa8
14bd29cb2
157d63249
hex55c1484

89920644 has 48 divisors (see below), whose sum is σ = 231813120. Its totient is φ = 26900640.

The previous prime is 89920613. The next prime is 89920669. The reversal of 89920644 is 44602998.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 89920596 and 89920605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6117 + ... + 14739.

It is an arithmetic number, because the mean of its divisors is an integer number (4829440).

Almost surely, 289920644 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 89920644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115906560).

89920644 is an abundant number, since it is smaller than the sum of its proper divisors (141892476).

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

89920644 is a wasteful number, since it uses less digits than its factorization.

89920644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8720 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 89920644 is about 9482.6496297185. The cubic root of 89920644 is about 448.0087224599.

The spelling of 89920644 in words is "eighty-nine million, nine hundred twenty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 8623 10428 17246 25869 34492 51738 94853 103476 189706 284559 379412 569118 681217 1138236 1362434 2043651 2724868 4087302 7493387 8174604 14986774 22480161 29973548 44960322 89920644