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53383776 = 253797039
BaseRepresentation
bin1100101110100…
…1001001100000
310201110011202220
43023221021200
5102131240101
65144111040
71215516555
oct313511140
9121404686
1053383776
1128152026
1215a65480
13b0a1644
147138a2c
154a47636
hex32e9260

53383776 has 48 divisors (see below), whose sum is σ = 141926400. Its totient is φ = 17566848.

The previous prime is 53383739. The next prime is 53383777. The reversal of 53383776 is 67738335.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53383777) 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, 4065 + ... + 11103.

It is an arithmetic number, because the mean of its divisors is an integer number (2956800).

Almost surely, 253383776 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 53383776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70963200).

53383776 is an abundant number, since it is smaller than the sum of its proper divisors (88542624).

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

53383776 is a wasteful number, since it uses less digits than its factorization.

53383776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131 (or 7123 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 53383776 is about 7306.4201904900. The cubic root of 53383776 is about 376.5330450759.

The spelling of 53383776 in words is "fifty-three million, three hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7039 7584 14078 21117 28156 42234 56312 84468 112624 168936 225248 337872 556081 675744 1112162 1668243 2224324 3336486 4448648 6672972 8897296 13345944 17794592 26691888 53383776