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55113552 = 24321359499
BaseRepresentation
bin1101001000111…
…1011101010000
310211201001120200
43102033131100
5103102113202
65245135200
71236312624
oct322173520
9124631520
1055113552
112912369a
121655a500
13b558a90
147469184
154c89e1c
hex348f750

55113552 has 120 divisors (see below), whose sum is σ = 169260000. Its totient is φ = 16637184.

The previous prime is 55113533. The next prime is 55113559. The reversal of 55113552 is 25531155.

55113552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×551135522 = 6075007228113408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55113559) 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 23 ways as a sum of consecutive naturals, for example, 110199 + ... + 110697.

It is an arithmetic number, because the mean of its divisors is an integer number (1410500).

Almost surely, 255113552 is an apocalyptic number.

55113552 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 55113552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84630000).

55113552 is an abundant number, since it is smaller than the sum of its proper divisors (114146448).

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

55113552 is a wasteful number, since it uses less digits than its factorization.

55113552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its digits is 3750, while the sum is 27.

The square root of 55113552 is about 7423.8502140062. The cubic root of 55113552 is about 380.5567830540.

The spelling of 55113552 in words is "fifty-five million, one hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 59 72 78 104 117 118 144 156 177 208 234 236 312 354 468 472 499 531 624 708 767 936 944 998 1062 1416 1497 1534 1872 1996 2124 2301 2832 2994 3068 3992 4248 4491 4602 5988 6136 6487 6903 7984 8496 8982 9204 11976 12272 12974 13806 17964 18408 19461 23952 25948 27612 29441 35928 36816 38922 51896 55224 58383 58882 71856 77844 88323 103792 110448 116766 117764 155688 176646 233532 235528 264969 311376 353292 382733 467064 471056 529938 706584 765466 934128 1059876 1148199 1413168 1530932 2119752 2296398 3061864 3444597 4239504 4592796 6123728 6889194 9185592 13778388 18371184 27556776 55113552