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90848664 = 23329191373
BaseRepresentation
bin1010110101000…
…11110110011000
320022221120221100
411122203312120
5141224124124
613003111400
72152125624
oct532436630
9208846840
1090848664
1147310a45
1226512560
1315a8b30a
14c0cc184
157e981c9
hex56a3d98

90848664 has 48 divisors (see below), whose sum is σ = 246495600. Its totient is φ = 30227904.

The previous prime is 90848617. The next prime is 90848669. The reversal of 90848664 is 46684809.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90848669) 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, 65482 + ... + 66854.

It is an arithmetic number, because the mean of its divisors is an integer number (5135325).

Almost surely, 290848664 is an apocalyptic number.

It is an amenable number.

90848664 is an abundant number, since it is smaller than the sum of its proper divisors (155646936).

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

90848664 is a wasteful number, since it uses less digits than its factorization.

90848664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 90848664 is about 9531.4565518603. The cubic root of 90848664 is about 449.5446653488.

The spelling of 90848664 in words is "ninety million, eight hundred forty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 919 1373 1838 2746 2757 3676 4119 5492 5514 7352 8238 8271 10984 11028 12357 16476 16542 22056 24714 32952 33084 49428 66168 98856 1261787 2523574 3785361 5047148 7570722 10094296 11356083 15141444 22712166 30282888 45424332 90848664