Search a number
-
+
90384558 = 23111972077
BaseRepresentation
bin1010110001100…
…10100010101110
320022002000022020
411120302202232
5141114301213
612545131010
72145153555
oct530624256
9208060266
1090384558
1147024290
1226329a66
1315957cb4
14c00ad9c
157e05923
hex56328ae

90384558 has 32 divisors (see below), whose sum is σ = 207584640. Its totient is φ = 25947360.

The previous prime is 90384533. The next prime is 90384559. The reversal of 90384558 is 85548309.

It is a super-4 number, since 4×903845584 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90384559) 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, 34785 + ... + 37292.

It is an arithmetic number, because the mean of its divisors is an integer number (6487020).

Almost surely, 290384558 is an apocalyptic number.

90384558 is an abundant number, since it is smaller than the sum of its proper divisors (117200082).

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

90384558 is a wasteful number, since it uses less digits than its factorization.

90384558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72112.

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 90384558 is about 9507.0793622437. The cubic root of 90384558 is about 448.7778492091. Note that the first 3 decimals are identical.

The spelling of 90384558 in words is "ninety million, three hundred eighty-four thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 72077 144154 216231 432462 792847 1369463 1585694 2378541 2738926 4108389 4757082 8216778 15064093 30128186 45192279 90384558