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53721760 = 2553110831
BaseRepresentation
bin1100110011101…
…1101010100000
310202002100101211
43030323222200
5102223044020
65155235504
71221425131
oct314735240
9122070354
1053721760
1128362a54
1215ba8b94
13b18c431
1471c5c88
154ab285a
hex333baa0

53721760 has 48 divisors (see below), whose sum is σ = 131023872. Its totient is φ = 20793600.

The previous prime is 53721757. The next prime is 53721761. The reversal of 53721760 is 6712735.

53721760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (53721761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456 + ... + 10375.

It is an arithmetic number, because the mean of its divisors is an integer number (2729664).

Almost surely, 253721760 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 53721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65511936).

53721760 is an abundant number, since it is smaller than the sum of its proper divisors (77302112).

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

53721760 is a wasteful number, since it uses less digits than its factorization.

53721760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877 (or 10869 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 53721760 is about 7329.5129442549. The cubic root of 53721760 is about 377.3260107819.

The spelling of 53721760 in words is "fifty-three million, seven hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 10831 21662 43324 54155 86648 108310 173296 216620 335761 346592 433240 671522 866480 1343044 1678805 1732960 2686088 3357610 5372176 6715220 10744352 13430440 26860880 53721760