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53717952 = 2631272203
BaseRepresentation
bin1100110011101…
…0101111000000
310202002011011210
43030322233000
5102222433302
65155210120
71221411051
oct314725700
9122064153
1053717952
1128360102
1215ba6940
13b18a792
1471c4728
154ab166c
hex333abc0

53717952 has 56 divisors (see below), whose sum is σ = 143312896. Its totient is φ = 17756928.

The previous prime is 53717941. The next prime is 53717957. The reversal of 53717952 is 25971735.

53717952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53717952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53717957) 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, 23283 + ... + 25485.

Almost surely, 253717952 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 53717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71656448).

53717952 is an abundant number, since it is smaller than the sum of its proper divisors (89594944).

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

53717952 is a wasteful number, since it uses less digits than its factorization.

53717952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2335 counting only the distinct ones).

The product of its digits is 66150, while the sum is 39.

The square root of 53717952 is about 7329.2531679565. The cubic root of 53717952 is about 377.3170951432.

The spelling of 53717952 in words is "fifty-three million, seven hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 2203 3048 4064 4406 6096 6609 8128 8812 12192 13218 17624 24384 26436 35248 52872 70496 105744 140992 211488 279781 422976 559562 839343 1119124 1678686 2238248 3357372 4476496 6714744 8952992 13429488 17905984 26858976 53717952