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54211104 = 2532199907
BaseRepresentation
bin1100111011001…
…1001000100000
310210000012122200
43032303020200
5102334223404
65213533200
71225533603
oct316631040
9123005580
1054211104
1128667672
12161a4200
13b30109c
1472b233a
154b5c839
hex33b3220

54211104 has 72 divisors (see below), whose sum is σ = 162293040. Its totient is φ = 17117568.

The previous prime is 54211099. The next prime is 54211109. The reversal of 54211104 is 40111245.

It is an interprime number because it is at equal distance from previous prime (54211099) and next prime (54211109).

It is a tau number, because it is divible by the number of its divisors (72).

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 (54211109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519 + ... + 10425.

It is an arithmetic number, because the mean of its divisors is an integer number (2254070).

Almost surely, 254211104 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 54211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81146520).

54211104 is an abundant number, since it is smaller than the sum of its proper divisors (108081936).

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

54211104 is a wasteful number, since it uses less digits than its factorization.

54211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9942 (or 9931 counting only the distinct ones).

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

The square root of 54211104 is about 7362.8190253462. The cubic root of 54211104 is about 378.4682196536.

Adding to 54211104 its reverse (40111245), we get a palindrome (94322349).

The spelling of 54211104 in words is "fifty-four million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 9907 19814 29721 39628 59442 79256 89163 118884 158512 178326 188233 237768 317024 356652 376466 475536 564699 713304 752932 951072 1129398 1426608 1505864 1694097 2258796 2853216 3011728 3388194 4517592 6023456 6776388 9035184 13552776 18070368 27105552 54211104