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53581472 = 257251953
BaseRepresentation
bin1100110001100…
…1011010100000
310201211012221222
43030121122200
5102204101342
65152234212
71220302130
oct314313240
9121735858
1053581472
112827760a
1215b3b968
13b140619
14718aac0
154a85ed2
hex33196a0

53581472 has 48 divisors (see below), whose sum is σ = 121165632. Its totient is φ = 22848000.

The previous prime is 53581469. The next prime is 53581477. The reversal of 53581472 is 27418535.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (53581477) 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, 55748 + ... + 56700.

It is an arithmetic number, because the mean of its divisors is an integer number (2524284).

Almost surely, 253581472 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 53581472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60582816).

53581472 is an abundant number, since it is smaller than the sum of its proper divisors (67584160).

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

53581472 is a wasteful number, since it uses less digits than its factorization.

53581472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1213 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The square root of 53581472 is about 7319.9366117474. The cubic root of 53581472 is about 376.9972771018.

The spelling of 53581472 in words is "fifty-three million, five hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 251 502 953 1004 1757 1906 2008 3514 3812 4016 6671 7028 7624 8032 13342 14056 15248 26684 28112 30496 53368 56224 106736 213472 239203 478406 956812 1674421 1913624 3348842 3827248 6697684 7654496 13395368 26790736 53581472