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53142048 = 253361507
BaseRepresentation
bin1100101010111…
…0001000100000
310200222220012000
43022232020200
5102101021143
65135004000
71213462041
oct312561040
9120886160
1053142048
1127aa7453
1215969600
13b0185cb
1470b48c8
1549eabd3
hex32ae220

53142048 has 48 divisors (see below), whose sum is σ = 155000160. Its totient is φ = 17713728.

The previous prime is 53141951. The next prime is 53142049. The reversal of 53142048 is 84024135.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53142049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29890 + ... + 31617.

It is an arithmetic number, because the mean of its divisors is an integer number (3229170).

Almost surely, 253142048 is an apocalyptic number.

It is an amenable number.

53142048 is an abundant number, since it is smaller than the sum of its proper divisors (101858112).

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

53142048 is a wasteful number, since it uses less digits than its factorization.

53142048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61526 (or 61512 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 53142048 is about 7289.8592579007. The cubic root of 53142048 is about 375.9638564926.

The spelling of 53142048 in words is "fifty-three million, one hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 61507 123014 184521 246028 369042 492056 553563 738084 984112 1107126 1476168 1660689 1968224 2214252 2952336 3321378 4428504 5904672 6642756 8857008 13285512 17714016 26571024 53142048