Search a number
-
+
53277056 = 27797613
BaseRepresentation
bin1100101100111…
…1000110000000
310201020202101022
43023033012000
5102114331211
65141525012
71214563460
oct313170600
9121222338
1053277056
1128089928
1215a13768
13b064bb1
14710bba0
154a25bdb
hex32cf180

53277056 has 64 divisors (see below), whose sum is σ = 122750880. Its totient is φ = 22560768.

The previous prime is 53277053. The next prime is 53277061. The reversal of 53277056 is 65077235.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53277053) 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 7 ways as a sum of consecutive naturals, for example, 86606 + ... + 87218.

Almost surely, 253277056 is an apocalyptic number.

53277056 is a gapful number since it is divisible by the number (56) 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 53277056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61375440).

53277056 is an abundant number, since it is smaller than the sum of its proper divisors (69473824).

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

53277056 is an equidigital number, since it uses as much as digits as its factorization.

53277056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 53277056 is about 7299.1133708143. The cubic root of 53277056 is about 376.2819674608.

The spelling of 53277056 in words is "fifty-three million, two hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 128 194 224 388 448 613 679 776 896 1226 1358 1552 2452 2716 3104 4291 4904 5432 6208 8582 9808 10864 12416 17164 19616 21728 34328 39232 43456 59461 68656 78464 86912 118922 137312 237844 274624 416227 475688 549248 832454 951376 1664908 1902752 3329816 3805504 6659632 7611008 13319264 26638528 53277056