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90855408 = 2437238629
BaseRepresentation
bin1010110101001…
…01011111110000
320022221221012010
411122211133300
5141224333113
613003202520
72152154400
oct532453760
9208857163
1090855408
1147316016
1226516440
1315a913c7
14c0d0800
157e9a1c3
hex56a57f0

90855408 has 60 divisors (see below), whose sum is σ = 273036840. Its totient is φ = 25958016.

The previous prime is 90855377. The next prime is 90855421. The reversal of 90855408 is 80455809.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16963 + ... + 21666.

It is an arithmetic number, because the mean of its divisors is an integer number (4550614).

Almost surely, 290855408 is an apocalyptic number.

90855408 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

90855408 is an abundant number, since it is smaller than the sum of its proper divisors (182181432).

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

90855408 is a wasteful number, since it uses less digits than its factorization.

90855408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38654 (or 38641 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 90855408 is about 9531.8103212349. The cubic root of 90855408 is about 449.5557888079. Note that the first 3 decimals are identical.

The spelling of 90855408 in words is "ninety million, eight hundred fifty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 38629 77258 115887 154516 231774 270403 309032 463548 540806 618064 811209 927096 1081612 1622418 1854192 1892821 2163224 3244836 3785642 4326448 5678463 6489672 7571284 11356926 12979344 15142568 22713852 30285136 45427704 90855408