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55682172 = 223271323739
BaseRepresentation
bin1101010001101…
…0010001111100
310212202221120200
43110122101330
5103223312142
65305243500
71244201460
oct324322174
9125687520
1055682172
1129481927
1216793590
13b6c7840
1475764a0
154d4d64c
hex351a47c

55682172 has 144 divisors (see below), whose sum is σ = 181009920. Its totient is φ = 14027904.

The previous prime is 55682153. The next prime is 55682177. The reversal of 55682172 is 27128655.

It is a happy number.

55682172 is a `hidden beast` number, since 5 + 568 + 21 + 72 = 666.

55682172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55682177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74979 + ... + 75717.

Almost surely, 255682172 is an apocalyptic number.

55682172 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55682172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90504960).

55682172 is an abundant number, since it is smaller than the sum of its proper divisors (125327748).

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

55682172 is a wasteful number, since it uses less digits than its factorization.

55682172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 787 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 55682172 is about 7462.0487803284. The cubic root of 55682172 is about 381.8610735365.

It can be divided in two parts, 556 and 82172, that added together give a palindrome (82728).

The spelling of 55682172 in words is "fifty-five million, six hundred eighty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 91 92 117 126 138 156 161 182 207 234 252 273 276 299 322 364 414 468 483 546 598 644 739 819 828 897 966 1092 1196 1449 1478 1638 1794 1932 2093 2217 2691 2898 2956 3276 3588 4186 4434 5173 5382 5796 6279 6651 8372 8868 9607 10346 10764 12558 13302 15519 16997 18837 19214 20692 25116 26604 28821 31038 33994 37674 38428 46557 50991 57642 62076 67249 67988 75348 86463 93114 101982 115284 118979 134498 152973 172926 186228 201747 203964 220961 237958 268996 305946 345852 356937 403494 441922 475916 605241 611892 662883 713874 806988 883844 1070811 1210482 1325766 1427748 1546727 1988649 2141622 2420964 2651532 3093454 3977298 4283244 4640181 6186908 7954596 9280362 13920543 18560724 27841086 55682172