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54214116 = 22311616733
BaseRepresentation
bin1100111011001…
…1110111100100
310210000100210020
43032303313210
5102334322431
65213555140
71225545435
oct316636744
9123010706
1054214116
1128669960
12161a5ab0
13b302578
1472b348c
154b5d696
hex33b3de4

54214116 has 48 divisors (see below), whose sum is σ = 140282688. Its totient is φ = 16156800.

The previous prime is 54214091. The next prime is 54214117. The reversal of 54214116 is 61141245.

It is a happy number.

It is a super-2 number, since 2×542141162 = 5878340747322912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54214117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4686 + ... + 11418.

It is an arithmetic number, because the mean of its divisors is an integer number (2922556).

Almost surely, 254214116 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 54214116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70141344).

54214116 is an abundant number, since it is smaller than the sum of its proper divisors (86068572).

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

54214116 is a wasteful number, since it uses less digits than its factorization.

54214116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6810 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 54214116 is about 7363.0235637271. The cubic root of 54214116 is about 378.4752288275.

The spelling of 54214116 in words is "fifty-four million, two hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 6733 8052 13466 20199 26932 40398 74063 80796 148126 222189 296252 410713 444378 821426 888756 1232139 1642852 2464278 4517843 4928556 9035686 13553529 18071372 27107058 54214116