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90270848 = 2741103167
BaseRepresentation
bin1010110000101…
…10110010000000
320021212020022202
411120112302000
5141102131343
612542452332
72144201213
oct530266200
9207766282
1090270848
1146a56908
12262940a8
1315918305
14bdbb77a
157dd1db8
hex5616c80

90270848 has 64 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 43345920.

The previous prime is 90270847. The next prime is 90270907. The reversal of 90270848 is 84807209.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (90270847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540461 + ... + 540627.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 290270848 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 90270848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

90270848 is an abundant number, since it is smaller than the sum of its proper divisors (96854272).

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

90270848 is a wasteful number, since it uses less digits than its factorization.

90270848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 90270848 is about 9501.0971997975. The cubic root of 90270848 is about 448.5895724160.

The spelling of 90270848 in words is "ninety million, two hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 103 128 164 167 206 328 334 412 656 668 824 1312 1336 1648 2624 2672 3296 4223 5248 5344 6592 6847 8446 10688 13184 13694 16892 17201 21376 27388 33784 34402 54776 67568 68804 109552 135136 137608 219104 270272 275216 438208 540544 550432 705241 876416 1100864 1410482 2201728 2820964 5641928 11283856 22567712 45135424 90270848