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90497168 = 2429416771
BaseRepresentation
bin1010110010011…
…10000010010000
320022021201202222
411121032002100
5141131402133
612551400212
72146133066
oct531160220
9208251688
1090497168
11470a0953
1226383068
1315997328
14c03a036
157e28e98
hex564e090

90497168 has 80 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 41395200.

The previous prime is 90497161. The next prime is 90497189. The reversal of 90497168 is 86179409.

It is a Cunningham number, because it is equal to 95132-1.

It is not an unprimeable number, because it can be changed into a prime (90497161) 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, 1274573 + ... + 1274643.

It is an arithmetic number, because the mean of its divisors is an integer number (2390472).

Almost surely, 290497168 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 90497168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

90497168 is an abundant number, since it is smaller than the sum of its proper divisors (100740592).

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

90497168 is a wasteful number, since it uses less digits than its factorization.

90497168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 90497168 is about 9512.9999474403. Note that the first 4 decimals coincide. The cubic root of 90497168 is about 448.9641491011.

The spelling of 90497168 in words is "ninety million, four hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 29 41 58 67 71 82 116 134 142 164 232 268 284 328 464 536 568 656 1072 1136 1189 1943 2059 2378 2747 2911 3886 4118 4756 4757 5494 5822 7772 8236 9512 9514 10988 11644 15544 16472 19024 19028 21976 23288 31088 32944 38056 43952 46576 76112 79663 84419 137953 159326 168838 195037 275906 318652 337676 390074 551812 637304 675352 780148 1103624 1274608 1350704 1560296 2207248 3120592 5656073 11312146 22624292 45248584 90497168