Search a number
-
+
55218072 = 233713131193
BaseRepresentation
bin1101001010100…
…0111110011000
310211220100221210
43102220332120
5103113434242
65251303120
71240226430
oct322507630
9124810853
1055218072
1129195178
12165aaaa0
13b594520
1474952c0
154caad9c
hex34a8f98

55218072 has 128 divisors (see below), whose sum is σ = 172085760. Its totient is φ = 14376960.

The previous prime is 55218071. The next prime is 55218073. The reversal of 55218072 is 27081255.

55218072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55218071) and next prime (55218073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55218071) 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 31 ways as a sum of consecutive naturals, for example, 286008 + ... + 286200.

It is an arithmetic number, because the mean of its divisors is an integer number (1344420).

Almost surely, 255218072 is an apocalyptic number.

55218072 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 55218072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86042880).

55218072 is an abundant number, since it is smaller than the sum of its proper divisors (116867688).

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

55218072 is a wasteful number, since it uses less digits than its factorization.

55218072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 55218072 is about 7430.8863535920. The cubic root of 55218072 is about 380.7971998888.

The spelling of 55218072 in words is "fifty-five million, two hundred eighteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 131 156 168 182 193 262 273 312 364 386 393 524 546 579 728 772 786 917 1048 1092 1158 1351 1544 1572 1703 1834 2184 2316 2509 2702 2751 3144 3406 3668 4053 4632 5018 5109 5404 5502 6812 7336 7527 8106 10036 10218 10808 11004 11921 13624 15054 16212 17563 20072 20436 22008 23842 25283 30108 32424 35126 35763 40872 47684 50566 52689 60216 70252 71526 75849 95368 101132 105378 140504 143052 151698 176981 202264 210756 286104 303396 328679 353962 421512 530943 606792 657358 707924 986037 1061886 1314716 1415848 1972074 2123772 2300753 2629432 3944148 4247544 4601506 6902259 7888296 9203012 13804518 18406024 27609036 55218072