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53799480 = 23325737577
BaseRepresentation
bin1100110100111…
…0101000111000
310202020022000100
43031032220320
5102233040410
65201035400
71222200540
oct315165070
9122208010
1053799480
1128406389
1216025b60
13b1b8917
147206320
154aca8c0
hex334ea38

53799480 has 192 divisors, whose sum is σ = 205583040. Its totient is φ = 11943936.

The previous prime is 53799479. The next prime is 53799481. The reversal of 53799480 is 8499735.

53799480 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 (53799479) and next prime (53799481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53799481) 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 47 ways as a sum of consecutive naturals, for example, 92952 + ... + 93528.

It is an arithmetic number, because the mean of its divisors is an integer number (1070745).

Almost surely, 253799480 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 53799480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102791520).

53799480 is an abundant number, since it is smaller than the sum of its proper divisors (151783560).

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

53799480 is a wasteful number, since it uses less digits than its factorization.

53799480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 53799480 is about 7334.8128810488. The cubic root of 53799480 is about 377.5078839925.

The spelling of 53799480 in words is "fifty-three million, seven hundred ninety-nine thousand, four hundred eighty".