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53148992 = 2613127503
BaseRepresentation
bin1100101010111…
…1110101000000
310201000020201012
43022233311000
5102101231432
65135100052
71213521221
oct312576500
9121006635
1053148992
1128001696
1215971628
13b01b810
1470b7248
1549eccb2
hex32afd40

53148992 has 56 divisors (see below), whose sum is σ = 114702336. Its totient is φ = 24288768.

The previous prime is 53148971. The next prime is 53149007. The reversal of 53148992 is 29984135.

53148992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 105413 + ... + 105915.

It is an arithmetic number, because the mean of its divisors is an integer number (2048256).

Almost surely, 253148992 is an apocalyptic number.

53148992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57351168).

53148992 is an abundant number, since it is smaller than the sum of its proper divisors (61553344).

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

53148992 is a wasteful number, since it uses less digits than its factorization.

53148992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 645 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 53148992 is about 7290.3355203996. The cubic root of 53148992 is about 375.9802313433.

The spelling of 53148992 in words is "fifty-three million, one hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 208 254 416 503 508 832 1006 1016 1651 2012 2032 3302 4024 4064 6539 6604 8048 8128 13078 13208 16096 26156 26416 32192 52312 52832 63881 104624 105664 127762 209248 255524 418496 511048 830453 1022096 1660906 2044192 3321812 4088384 6643624 13287248 26574496 53148992