Search a number
-
+
90483966 = 2351941239
BaseRepresentation
bin1010110010010…
…10110011111110
320022021001200000
411121022303332
5141130441331
612551215130
72146046436
oct531126376
9208231600
1090483966
1147091a41
12263774a6
1315991311
14c0352c6
157e250e6
hex564acfe

90483966 has 96 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 27760320.

The previous prime is 90483949. The next prime is 90483971. The reversal of 90483966 is 66938409.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378475 + ... + 378713.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 290483966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90483966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

90483966 is an abundant number, since it is smaller than the sum of its proper divisors (129663234).

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

90483966 is a wasteful number, since it uses less digits than its factorization.

90483966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 90483966 is about 9512.3060295598. The cubic root of 90483966 is about 448.9423159576.

The spelling of 90483966 in words is "ninety million, four hundred eighty-three thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 81 82 114 123 162 171 239 243 246 342 369 478 486 513 717 738 779 1026 1107 1434 1539 1558 2151 2214 2337 3078 3321 4302 4541 4617 4674 6453 6642 7011 9082 9234 9799 9963 12906 13623 14022 19359 19598 19926 21033 27246 29397 38718 40869 42066 58077 58794 63099 81738 88191 116154 122607 126198 176382 186181 189297 245214 264573 367821 372362 378594 529146 558543 735642 793719 1103463 1117086 1587438 1675629 2206926 2381157 3351258 4762314 5026887 10053774 15080661 30161322 45241983 90483966