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54122112 = 2732114271
BaseRepresentation
bin1100111001110…
…1011010000000
310202211200120200
43032131122000
5102323401422
65212005200
71225013262
oct316353200
9122750520
1054122112
1128606820
1216160800
13b29c725
14728bb32
154b412ac
hex339d680

54122112 has 96 divisors (see below), whose sum is σ = 169940160. Its totient is φ = 16396800.

The previous prime is 54122111. The next prime is 54122119. The reversal of 54122112 is 21122145.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (54122111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10537 + ... + 14807.

It is an arithmetic number, because the mean of its divisors is an integer number (1770210).

Almost surely, 254122112 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 54122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84970080).

54122112 is an abundant number, since it is smaller than the sum of its proper divisors (115818048).

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

54122112 is a wasteful number, since it uses less digits than its factorization.

54122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4287 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 54122112 is about 7356.7732056928. The cubic root of 54122112 is about 378.2610106257.

Adding to 54122112 its reverse (21122145), we get a palindrome (75244257).

The spelling of 54122112 in words is "fifty-four million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 4271 6336 8542 12672 12813 17084 25626 34168 38439 46981 51252 68336 76878 93962 102504 136672 140943 153756 187924 205008 273344 281886 307512 375848 410016 422829 546688 563772 615024 751696 820032 845658 1127544 1230048 1503392 1640064 1691316 2255088 2460096 3006784 3382632 4510176 4920192 6013568 6765264 9020352 13530528 18040704 27061056 54122112