Search a number
-
+
90028536 = 233131915187
BaseRepresentation
bin1010101110110…
…11100111111000
320021101220221020
411113123213320
5141021403121
612533342440
72142141603
oct527334770
9207356836
1090028536
1146900854
1226197a20
1315861c30
14bd5733a
157d851c6
hex55db9f8

90028536 has 64 divisors (see below), whose sum is σ = 255158400. Its totient is φ = 26241408.

The previous prime is 90028507. The next prime is 90028537. The reversal of 90028536 is 63582009.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 90028497 and 90028506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90028537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666 + ... + 13521.

It is an arithmetic number, because the mean of its divisors is an integer number (3986850).

Almost surely, 290028536 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 90028536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127579200).

90028536 is an abundant number, since it is smaller than the sum of its proper divisors (165129864).

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

90028536 is a wasteful number, since it uses less digits than its factorization.

90028536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15228 (or 15224 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 90028536 is about 9488.3368405638. The cubic root of 90028536 is about 448.1878331196.

The spelling of 90028536 in words is "ninety million, twenty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 15187 30374 45561 60748 91122 121496 182244 197431 288553 364488 394862 577106 592293 789724 865659 1154212 1184586 1579448 1731318 2308424 2369172 3462636 3751189 4738344 6925272 7502378 11253567 15004756 22507134 30009512 45014268 90028536