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54348228 = 223211711933
BaseRepresentation
bin1100111101010…
…0100111000100
310210021011202100
43033110213010
5102403120403
65220512100
71226644434
oct317244704
9123234670
1054348228
11287506a0
121624b630
13b34b61c
14730a2c4
154b882a3
hex33d49c4

54348228 has 72 divisors (see below), whose sum is σ = 152058816. Its totient is φ = 16228800.

The previous prime is 54348223. The next prime is 54348251. The reversal of 54348228 is 82284345.

54348228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 54348192 and 54348201.

It is not an unprimeable number, because it can be changed into a prime (54348223) 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, 27150 + ... + 29082.

It is an arithmetic number, because the mean of its divisors is an integer number (2111928).

Almost surely, 254348228 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 54348228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76029408).

54348228 is an abundant number, since it is smaller than the sum of its proper divisors (97710588).

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

54348228 is a wasteful number, since it uses less digits than its factorization.

54348228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2020 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 54348228 is about 7372.1250667633. The cubic root of 54348228 is about 378.7870558131.

The spelling of 54348228 in words is "fifty-four million, three hundred forty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1278 1562 1933 2343 2556 3124 3866 4686 5799 7029 7732 9372 11598 14058 17397 21263 23196 28116 34794 42526 63789 69588 85052 127578 137243 191367 255156 274486 382734 411729 548972 765468 823458 1235187 1509673 1646916 2470374 3019346 4529019 4940748 6038692 9058038 13587057 18116076 27174114 54348228