Search a number
-
+
53650728 = 23331491667
BaseRepresentation
bin1100110010101…
…0010100101000
310201221201222000
43030222110220
5102213310403
65153531000
71221011055
oct314522450
9121851860
1053650728
112831464a
1215b73a60
13b165cc1
1471a802c
154a9b7a3
hex332a528

53650728 has 64 divisors (see below), whose sum is σ = 150120000. Its totient is φ = 17752896.

The previous prime is 53650631. The next prime is 53650741. The reversal of 53650728 is 82705635.

53650728 is a `hidden beast` number, since 536 + 50 + 72 + 8 = 666.

It is a super-2 number, since 2×536507282 = 5756801229859968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53650692 and 53650701.

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 15 ways as a sum of consecutive naturals, for example, 31351 + ... + 33017.

It is an arithmetic number, because the mean of its divisors is an integer number (2345625).

Almost surely, 253650728 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 53650728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75060000).

53650728 is an abundant number, since it is smaller than the sum of its proper divisors (96469272).

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

53650728 is a wasteful number, since it uses less digits than its factorization.

53650728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 53650728 is about 7324.6657261612. The cubic root of 53650728 is about 377.1596347318.

The spelling of 53650728 in words is "fifty-three million, six hundred fifty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 216 298 447 596 894 1192 1341 1667 1788 2682 3334 3576 4023 5001 5364 6668 8046 10002 10728 13336 15003 16092 20004 30006 32184 40008 45009 60012 90018 120024 180036 248383 360072 496766 745149 993532 1490298 1987064 2235447 2980596 4470894 5961192 6706341 8941788 13412682 17883576 26825364 53650728