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90825784 = 23731113463
BaseRepresentation
bin1010110100111…
…10010000111000
320022220102112221
411122132100320
5141222411114
613002413424
72152002130
oct532362070
9208812487
1090825784
11472a5835
1226501274
1315a80a8a
14c0c3ac0
157e91524
hex569e438

90825784 has 64 divisors (see below), whose sum is σ = 203120640. Its totient is φ = 37255680.

The previous prime is 90825743. The next prime is 90825793. The reversal of 90825784 is 48752809.

It is a self number, because there is not a number n which added to its sum of digits gives 90825784.

It is a congruent number.

It is an unprimeable number.

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, 195937 + ... + 196399.

It is an arithmetic number, because the mean of its divisors is an integer number (3173760).

Almost surely, 290825784 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 90825784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101560320).

90825784 is an abundant number, since it is smaller than the sum of its proper divisors (112294856).

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

90825784 is a wasteful number, since it uses less digits than its factorization.

90825784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 90825784 is about 9530.2562399969. The cubic root of 90825784 is about 449.5069232948.

The spelling of 90825784 in words is "ninety million, eight hundred twenty-five thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 113 124 217 226 248 434 452 463 791 868 904 926 1582 1736 1852 3164 3241 3503 3704 6328 6482 7006 12964 14012 14353 24521 25928 28024 28706 49042 52319 57412 98084 100471 104638 114824 196168 200942 209276 366233 401884 418552 732466 803768 1464932 1621889 2929864 3243778 6487556 11353223 12975112 22706446 45412892 90825784