| Base | Representation |
|---|---|
| bin | 1010101110110… |
| … | …11011000100000 |
| 3 | 20021101212120210 |
| 4 | 11113123120200 |
| 5 | 141021340202 |
| 6 | 12533334120 |
| 7 | 2142135666 |
| oct | 527333040 |
| 9 | 207355523 |
| 10 | 90027552 |
| 11 | 4690003a |
| 12 | 26197340 |
| 13 | 15861654 |
| 14 | bd56c36 |
| 15 | 7d84c6c |
| hex | 55db620 |
90027552 has 96 divisors (see below), whose sum is σ = 245222208. Its totient is φ = 28901376.
The previous prime is 90027551. The next prime is 90027583. The reversal of 90027552 is 25572009.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×900275522 = 16209920238225408, which contains 22 as substring.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (90027551) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466368 + ... + 466560.
It is an arithmetic number, because the mean of its divisors is an integer number (2554398).
Almost surely, 290027552 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 90027552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122611104).
90027552 is an abundant number, since it is smaller than the sum of its proper divisors (155194656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90027552 is a wasteful number, since it uses less digits than its factorization.
With its successor (90027553) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (362).
90027552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 362 (or 354 counting only the distinct ones).
The product of its (nonzero) digits is 6300, while the sum is 30.
The square root of 90027552 is about 9488.2849872883. The cubic root of 90027552 is about 448.1862002358.
The spelling of 90027552 in words is "ninety million, twenty-seven thousand, five hundred fifty-two".
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