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53301952 = 261126883
BaseRepresentation
bin1100101101010…
…1001011000000
310201022000112101
43023111023000
5102121130302
65142240144
71215026164
oct313251300
9121260471
1053301952
11280a6600
1215a26054
13b073322
147116ca4
154a2d287
hex32d52c0

53301952 has 42 divisors (see below), whose sum is σ = 116277644. Its totient is φ = 24224640.

The previous prime is 53301931. The next prime is 53301959. The reversal of 53301952 is 25910335.

It is a self number, because there is not a number n which added to its sum of digits gives 53301952.

It is not an unprimeable number, because it can be changed into a prime (53301959) 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 5 ways as a sum of consecutive naturals, for example, 4303 + ... + 11185.

Almost surely, 253301952 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 53301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58138822).

53301952 is an abundant number, since it is smaller than the sum of its proper divisors (62975692).

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

53301952 is a wasteful number, since it uses less digits than its factorization.

53301952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6896 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 53301952 is about 7300.8185842411. The cubic root of 53301952 is about 376.3405696544.

The spelling of 53301952 in words is "fifty-three million, three hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 6883 7744 13766 27532 55064 75713 110128 151426 220256 302852 440512 605704 832843 1211408 1665686 2422816 3331372 4845632 6662744 13325488 26650976 53301952