Search a number
-
+
90218944 = 264789337
BaseRepresentation
bin1010110000010…
…10000111000000
320021202121010101
411120022013000
5141044001234
612541412144
72143563664
oct530120700
9207677111
1090218944
1146a20912
122626a054
13158ca7ba
14bda68a4
157dc1814
hex560a1c0

90218944 has 56 divisors (see below), whose sum is σ = 185440320. Its totient is φ = 43524096.

The previous prime is 90218941. The next prime is 90218963. The reversal of 90218944 is 44981209.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90218941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267544 + ... + 267880.

Almost surely, 290218944 is an apocalyptic number.

90218944 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90218944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92720160).

90218944 is an abundant number, since it is smaller than the sum of its proper divisors (95221376).

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

90218944 is a wasteful number, since it uses less digits than its factorization.

90218944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 90218944 is about 9498.3653330455. The cubic root of 90218944 is about 448.5035791426.

The spelling of 90218944 in words is "ninety million, two hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 47 64 89 94 178 188 337 356 376 674 712 752 1348 1424 1504 2696 2848 3008 4183 5392 5696 8366 10784 15839 16732 21568 29993 31678 33464 59986 63356 66928 119972 126712 133856 239944 253424 267712 479888 506848 959776 1013696 1409671 1919552 2819342 5638684 11277368 22554736 45109472 90218944