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53662644 = 223272291049
BaseRepresentation
bin1100110010110…
…1001110110100
310201222100022100
43030231032310
5102214201034
65154102100
71221060600
oct314551664
9121870270
1053662644
11283225a2
1215b7a930
13b16b559
1471ac500
154aa0099
hex332d3b4

53662644 has 108 divisors (see below), whose sum is σ = 163390500. Its totient is φ = 14789376.

The previous prime is 53662621. The next prime is 53662649. The reversal of 53662644 is 44626635.

53662644 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 2 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39690000 + 13972644 = 6300^2 + 3738^2 .

It is a super-2 number, since 2×536626442 = 5759358722141472, 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 = 53662599 and 53662608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53662649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50632 + ... + 51680.

It is an arithmetic number, because the mean of its divisors is an integer number (1512875).

Almost surely, 253662644 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 53662644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81695250).

53662644 is an abundant number, since it is smaller than the sum of its proper divisors (109727856).

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

53662644 is a wasteful number, since it uses less digits than its factorization.

53662644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1090 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 53662644 is about 7325.4790969601. The cubic root of 53662644 is about 377.1875554559.

The spelling of 53662644 in words is "fifty-three million, six hundred sixty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1049 1218 1421 1764 1827 2098 2436 2842 3147 3654 4196 4263 5684 6294 7308 7343 8526 9441 12588 12789 14686 17052 18882 22029 25578 29372 30421 37764 44058 51156 51401 60842 66087 88116 91263 102802 121684 132174 154203 182526 205604 212947 264348 273789 308406 365052 425894 462609 547578 616812 638841 851788 925218 1095156 1277682 1490629 1850436 1916523 2555364 2981258 3833046 4471887 5962516 7666092 8943774 13415661 17887548 26831322 53662644