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55653156 = 22341373181
BaseRepresentation
bin1101010001001…
…1001100100100
310212201110210000
43110103030210
5103221400111
65304501300
71244021046
oct324231444
9125643700
1055653156
1129462049
121677a830
13b6b7580
147569a96
154d44c56
hex3513324

55653156 has 120 divisors (see below), whose sum is σ = 159703544. Its totient is φ = 16796160.

The previous prime is 55653151. The next prime is 55653163. The reversal of 55653156 is 65135655.

55653156 is a `hidden beast` number, since 556 + 53 + 1 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 656100 + 54997056 = 810^2 + 7416^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 55653156.

It is not an unprimeable number, because it can be changed into a prime (55653151) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 307386 + ... + 307566.

Almost surely, 255653156 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 55653156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79851772).

55653156 is an abundant number, since it is smaller than the sum of its proper divisors (104050388).

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

55653156 is a wasteful number, since it uses less digits than its factorization.

55653156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

The square root of 55653156 is about 7460.1042888153. The cubic root of 55653156 is about 381.7947326972.

It can be divided in two parts, 55653 and 156, that multiplied together give a palindrome (8681868).

The spelling of 55653156 in words is "fifty-five million, six hundred fifty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 73 78 81 108 117 146 156 162 181 219 234 292 324 351 362 438 468 543 657 702 724 876 949 1053 1086 1314 1404 1629 1898 1971 2106 2172 2353 2628 2847 3258 3796 3942 4212 4706 4887 5694 5913 6516 7059 7884 8541 9412 9774 11388 11826 13213 14118 14661 17082 19548 21177 23652 25623 26426 28236 29322 34164 39639 42354 51246 52852 58644 63531 76869 79278 84708 102492 118917 127062 153738 158556 171769 190593 237834 254124 307476 343538 356751 381186 475668 515307 687076 713502 762372 1030614 1070253 1427004 1545921 2061228 2140506 3091842 4281012 4637763 6183684 9275526 13913289 18551052 27826578 55653156