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55264356 = 223472592
BaseRepresentation
bin1101001011010…
…0010001100100
310211222201110000
43102310101210
5103121424411
65252301300
71240511400
oct322642144
9124881400
1055264356
1129216a24
1216611830
13b5ac604
1474a8100
154cb9956
hex34b4464

55264356 has 135 divisors (see below), whose sum is σ = 170955939. Its totient is φ = 15522192.

The previous prime is 55264337. The next prime is 55264357. The reversal of 55264356 is 65346255.

It is a happy number.

The square root of 55264356 is 7434.

It is a perfect power (a square), and thus also a powerful number.

55264356 is a `hidden beast` number, since 5 + 5 + 2 + 643 + 5 + 6 = 666.

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 55264356.

It is not an unprimeable number, because it can be changed into a prime (55264357) 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 44 ways as a sum of consecutive naturals, for example, 936655 + ... + 936713.

Almost surely, 255264356 is an apocalyptic number.

55264356 is the 7434-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55264356

55264356 is an abundant number, since it is smaller than the sum of its proper divisors (115691583).

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

55264356 is a wasteful number, since it uses less digits than its factorization.

55264356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 71 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The cubic root of 55264356 is about 380.9035654008.

Multiplying 55264356 by its sum of digits (36), we get a square (1989516816 = 446042).

55264356 divided by its sum of digits (36) gives a square (1535121 = 12392).

The spelling of 55264356 in words is "fifty-five million, two hundred sixty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 59 63 81 84 98 108 118 126 147 162 177 189 196 236 252 294 324 354 378 413 441 531 567 588 708 756 826 882 1062 1134 1239 1323 1593 1652 1764 2124 2268 2478 2646 2891 3186 3481 3717 3969 4779 4956 5292 5782 6372 6962 7434 7938 8673 9558 10443 11151 11564 13924 14868 15876 17346 19116 20886 22302 24367 26019 31329 33453 34692 41772 44604 48734 52038 62658 66906 73101 78057 93987 97468 104076 125316 133812 146202 156114 170569 187974 219303 234171 281961 292404 312228 341138 375948 438606 468342 511707 563922 657909 682276 877212 936684 1023414 1127844 1315818 1535121 1973727 2046828 2631636 3070242 3947454 4605363 6140484 7894908 9210726 13816089 18421452 27632178 55264356