Search a number
-
+
11450464 = 251937509
BaseRepresentation
bin101011101011…
…100001100000
3210112202002021
4223223201200
510412403324
61045231224
7166220164
oct53534140
923482067
1011450464
1165109a3
123a02514
1324abb2c
141740ca4
151012ae4
hexaeb860

11450464 has 48 divisors (see below), whose sum is σ = 24418800. Its totient is φ = 5266944.

The previous prime is 11450459. The next prime is 11450489. The reversal of 11450464 is 46405411.

It is a super-2 number, since 2×114504642 = 262226251630592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22242 + ... + 22750.

It is an arithmetic number, because the mean of its divisors is an integer number (508725).

Almost surely, 211450464 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 11450464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209400).

11450464 is an abundant number, since it is smaller than the sum of its proper divisors (12968336).

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

11450464 is a wasteful number, since it uses less digits than its factorization.

11450464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 11450464 is about 3383.8534247216. The cubic root of 11450464 is about 225.3933137091.

Adding to 11450464 its reverse (46405411), we get a palindrome (57855875).

The spelling of 11450464 in words is "eleven million, four hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 296 304 509 592 608 703 1018 1184 1406 2036 2812 4072 5624 8144 9671 11248 16288 18833 19342 22496 37666 38684 75332 77368 150664 154736 301328 309472 357827 602656 715654 1431308 2862616 5725232 11450464