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61472 = 2517113
BaseRepresentation
bin1111000000100000
310010022202
433000200
53431342
61152332
7344135
oct170040
9103282
1061472
1142204
122b6a8
1321c98
141858c
1513332
hexf020

61472 has 24 divisors (see below), whose sum is σ = 129276. Its totient is φ = 28672.

The previous prime is 61471. The next prime is 61483. The reversal of 61472 is 27416.

It can be written as a sum of positive squares in 2 ways, for example, as 59536 + 1936 = 244^2 + 44^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61472.

It is not an unprimeable number, because it can be changed into a prime (61471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 488 + ... + 600.

261472 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 61472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64638).

61472 is an abundant number, since it is smaller than the sum of its proper divisors (67804).

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

61472 is a wasteful number, since it uses less digits than its factorization.

61472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 61472 is about 247.9354754770. The cubic root of 61472 is about 39.4662425894.

Adding to 61472 its reverse (27416), we get a palindrome (88888).

It can be divided in two parts, 614 and 72, that added together give a palindrome (686).

The spelling of 61472 in words is "sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 113 136 226 272 452 544 904 1808 1921 3616 3842 7684 15368 30736 61472