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54101432 = 23711711237
BaseRepresentation
bin1100111001100…
…0010110111000
310202210122012202
43032120112320
5102322221212
65211325332
71224566060
oct316302670
9122718182
1054101432
11285a2230
1216150848
13b2931a8
1472843a0
154b3a0c2
hex33985b8

54101432 has 64 divisors (see below), whose sum is σ = 128355840. Its totient is φ = 20764800.

The previous prime is 54101413. The next prime is 54101461. The reversal of 54101432 is 23410145.

54101432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43118 + ... + 44354.

It is an arithmetic number, because the mean of its divisors is an integer number (2005560).

Almost surely, 254101432 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 54101432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64177920).

54101432 is an abundant number, since it is smaller than the sum of its proper divisors (74254408).

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

54101432 is a wasteful number, since it uses less digits than its factorization.

54101432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 54101432 is about 7355.3675638951. The cubic root of 54101432 is about 378.2128267815.

Adding to 54101432 its reverse (23410145), we get a palindrome (77511577).

It can be divided in two parts, 5410143 and 2, that added together give a palindrome (5410145).

The spelling of 54101432 in words is "fifty-four million, one hundred one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 71 77 88 142 154 284 308 497 568 616 781 994 1237 1562 1988 2474 3124 3976 4948 5467 6248 8659 9896 10934 13607 17318 21868 27214 34636 43736 54428 69272 87827 95249 108856 175654 190498 351308 380996 614789 702616 761992 966097 1229578 1932194 2459156 3864388 4918312 6762679 7728776 13525358 27050716 54101432