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54101412 = 22331779373
BaseRepresentation
bin1100111001100…
…0010110100100
310202210122012000
43032120112210
5102322221122
65211325300
71224566031
oct316302644
9122718160
1054101412
11285a2212
1216150830
13b293191
147284388
154b3a0ac
hex33985a4

54101412 has 96 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 16713216.

The previous prime is 54101389. The next prime is 54101413. The reversal of 54101412 is 21410145.

It is a super-4 number, since 4×541014124 (a number of 32 digits) contains 4444 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54101413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144858 + ... + 145230.

It is an arithmetic number, because the mean of its divisors is an integer number (1570800).

Almost surely, 254101412 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 54101412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

54101412 is an abundant number, since it is smaller than the sum of its proper divisors (96695388).

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

54101412 is a wasteful number, since it uses less digits than its factorization.

54101412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

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

The square root of 54101412 is about 7355.3662043436. The cubic root of 54101412 is about 378.2127801761.

Adding to 54101412 its reverse (21410145), we get a palindrome (75511557).

The spelling of 54101412 in words is "fifty-four million, one hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 79 102 108 153 158 204 237 306 316 373 459 474 612 711 746 918 948 1119 1343 1422 1492 1836 2133 2238 2686 2844 3357 4029 4266 4476 5372 6341 6714 8058 8532 10071 12087 12682 13428 16116 19023 20142 24174 25364 29467 36261 38046 40284 48348 57069 58934 72522 76092 88401 114138 117868 145044 171207 176802 228276 265203 342414 353604 500939 530406 684828 795609 1001878 1060812 1502817 1591218 2003756 3005634 3182436 4508451 6011268 9016902 13525353 18033804 27050706 54101412