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53963088 = 24310111131
BaseRepresentation
bin1100110111011…
…0100101010000
310202112121102220
43031312211100
5102303304323
65204341040
71223451534
oct315664520
9122477386
1053963088
11285082a3
12160a4780
13b24522a
147249bc4
154b0e0e3
hex3376950

53963088 has 40 divisors (see below), whose sum is σ = 140797536. Its totient is φ = 17808000.

The previous prime is 53963087. The next prime is 53963089. The reversal of 53963088 is 88036935.

53963088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53963087) and next prime (53963089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53963081) 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, 718 + ... + 10413.

Almost surely, 253963088 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 53963088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70398768).

53963088 is an abundant number, since it is smaller than the sum of its proper divisors (86834448).

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

53963088 is a wasteful number, since it uses less digits than its factorization.

53963088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11243 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 53963088 is about 7345.9572555250. The cubic root of 53963088 is about 377.8901727345.

The spelling of 53963088 in words is "fifty-three million, nine hundred sixty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 11131 22262 33393 44524 66786 89048 133572 178096 267144 534288 1124231 2248462 3372693 4496924 6745386 8993848 13490772 17987696 26981544 53963088