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55181412 = 22351113397
BaseRepresentation
bin1101001010000…
…0000001100100
310211211111200000
43102200001210
5103111301122
65250421300
71240014516
oct322400144
9124744600
1055181412
112916a680
1216591830
13b580930
147485bb6
154ca00ac
hex34a0064

55181412 has 144 divisors (see below), whose sum is σ = 170369472. Its totient is φ = 15396480.

The previous prime is 55181411. The next prime is 55181417. The reversal of 55181412 is 21418155.

55181412 is a `hidden beast` number, since 5 + 518 + 141 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55181411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138798 + ... + 139194.

Almost surely, 255181412 is an apocalyptic number.

55181412 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55181412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85184736).

55181412 is an abundant number, since it is smaller than the sum of its proper divisors (115188060).

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

55181412 is a wasteful number, since it uses less digits than its factorization.

55181412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 55181412 is about 7428.4192127262. The cubic root of 55181412 is about 380.7129091521.

Adding to 55181412 its reverse (21418155), we get a palindrome (76599567).

The spelling of 55181412 in words is "fifty-five million, one hundred eighty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 243 286 297 324 351 396 397 429 468 486 572 594 702 794 858 891 972 1053 1188 1191 1287 1404 1588 1716 1782 2106 2382 2574 2673 3159 3564 3573 3861 4212 4367 4764 5148 5161 5346 6318 7146 7722 8734 10322 10692 10719 11583 12636 13101 14292 15444 15483 17468 20644 21438 23166 26202 30966 32157 34749 39303 42876 46332 46449 52404 56771 61932 64314 69498 78606 92898 96471 113542 117909 128628 138996 139347 157212 170313 185796 192942 227084 235818 278694 340626 353727 385884 418041 471636 510939 557388 681252 707454 836082 1021878 1061181 1254123 1414908 1532817 1672164 2043756 2122362 2508246 3065634 4244724 4598451 5016492 6131268 9196902 13795353 18393804 27590706 55181412