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52800144 = 2437115493
BaseRepresentation
bin1100100101101…
…0101010010000
310200100112011220
43021122222100
5102004101034
65123405040
71210536165
oct311325220
9120315156
1052800144
1127893591
1215823780
13ac28ab7
14702606c
15497e749
hex325aa90

52800144 has 40 divisors (see below), whose sum is σ = 138330432. Its totient is φ = 17351040.

The previous prime is 52800133. The next prime is 52800151. The reversal of 52800144 is 44100825.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 4339 + ... + 11154.

Almost surely, 252800144 is an apocalyptic number.

It is an amenable number.

52800144 is an abundant number, since it is smaller than the sum of its proper divisors (85530288).

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

52800144 is a wasteful number, since it uses less digits than its factorization.

52800144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15575 (or 15569 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 52800144 is about 7266.3707585011. The cubic root of 52800144 is about 375.1558321235.

Adding to 52800144 its reverse (44100825), we get a palindrome (96900969).

The spelling of 52800144 in words is "fifty-two million, eight hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 15493 30986 46479 61972 92958 123944 185916 247888 371832 743664 1100003 2200006 3300009 4400012 6600018 8800024 13200036 17600048 26400072 52800144