Search a number
-
+
53550756 = 22327417173
BaseRepresentation
bin1100110001000…
…1111010100100
310201202122211100
43030101322210
5102202111011
65151440100
71220113440
oct314217244
9121678740
1053550756
1128256526
1215b26030
13b12c64c
14717d820
154a7bd56
hex3311ea4

53550756 has 144 divisors (see below), whose sum is σ = 162908928. Its totient is φ = 14515200.

The previous prime is 53550727. The next prime is 53550767. The reversal of 53550756 is 65705535.

53550756 is a `hidden beast` number, since 53 + 550 + 7 + 56 = 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 53550756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733536 + ... + 733608.

It is an arithmetic number, because the mean of its divisors is an integer number (1131312).

Almost surely, 253550756 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 53550756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81454464).

53550756 is an abundant number, since it is smaller than the sum of its proper divisors (109358172).

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

53550756 is a wasteful number, since it uses less digits than its factorization.

53550756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 53550756 is about 7317.8382053719. The cubic root of 53550756 is about 376.9252244477.

The spelling of 53550756 in words is "fifty-three million, five hundred fifty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 71 73 82 84 123 126 142 146 164 213 219 246 252 284 287 292 369 426 438 492 497 511 574 639 657 738 852 861 876 994 1022 1148 1278 1314 1476 1491 1533 1722 1988 2044 2556 2583 2628 2911 2982 2993 3066 3444 4473 4599 5166 5183 5822 5964 5986 6132 8733 8946 8979 9198 10332 10366 11644 11972 15549 17466 17892 17958 18396 20377 20732 20951 26199 26937 31098 34932 35916 36281 40754 41902 46647 52398 53874 61131 62196 62853 72562 81508 83804 93294 104796 107748 108843 122262 125706 145124 183393 186588 188559 212503 217686 244524 251412 326529 366786 377118 425006 435372 637509 653058 733572 754236 850012 1275018 1306116 1487521 1912527 2550036 2975042 3825054 4462563 5950084 7650108 8925126 13387689 17850252 26775378 53550756