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61444432 = 2472181433
BaseRepresentation
bin1110101001100…
…1000101010000
311021121200220201
43222121011100
5111212210212
610032544544
71344161200
oct352310520
9137550821
1061444432
1131758125
12186b2154
13c96456a
148236400
1555dab57
hex3a99150

61444432 has 60 divisors (see below), whose sum is σ = 139571796. Its totient is φ = 26127360.

The previous prime is 61444421. The next prime is 61444433. The reversal of 61444432 is 23444416.

It can be written as a sum of positive squares in 2 ways, for example, as 3013696 + 58430736 = 1736^2 + 7644^2 .

It is a super-3 number, since 3×614444323 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 61444432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61444433) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 141688 + ... + 142120.

Almost surely, 261444432 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 61444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69785898).

61444432 is an abundant number, since it is smaller than the sum of its proper divisors (78127364).

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

61444432 is a wasteful number, since it uses less digits than its factorization.

61444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 61444432 is about 7838.6498837491. The cubic root of 61444432 is about 394.6034197306.

Adding to 61444432 its reverse (23444416), we get a palindrome (84888848).

The spelling of 61444432 in words is "sixty-one million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 181 196 362 392 433 724 784 866 1267 1448 1732 2534 2896 3031 3464 5068 6062 6928 8869 10136 12124 17738 20272 21217 24248 35476 42434 48496 70952 78373 84868 141904 156746 169736 313492 339472 548611 626984 1097222 1253968 2194444 3840277 4388888 7680554 8777776 15361108 30722216 61444432