Search a number
-
+
52401384 = 2333724951
BaseRepresentation
bin1100011111100…
…1010011101000
310122121021012000
43013321103220
5101403321014
65111051000
71204255500
oct307712350
9118537160
1052401384
1127640a32
1215670a60
13ab19449
146d60a00
154901509
hex31f94e8

52401384 has 96 divisors (see below), whose sum is σ = 169358400. Its totient is φ = 14968800.

The previous prime is 52401367. The next prime is 52401407. The reversal of 52401384 is 48310425.

52401384 is a `hidden beast` number, since 524 + 0 + 138 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109 + ... + 13059.

It is an arithmetic number, because the mean of its divisors is an integer number (1764150).

Almost surely, 252401384 is an apocalyptic number.

52401384 is a gapful number since it is divisible by the number (54) 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 52401384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84679200).

52401384 is an abundant number, since it is smaller than the sum of its proper divisors (116957016).

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

52401384 is a wasteful number, since it uses less digits than its factorization.

52401384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52401384 is about 7238.8800238711. The cubic root of 52401384 is about 374.2090207780.

The spelling of 52401384 in words is "fifty-two million, four hundred one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 4951 5292 9902 10584 14853 19804 29706 34657 39608 44559 59412 69314 89118 103971 118824 133677 138628 178236 207942 242599 267354 277256 311913 356472 415884 485198 534708 623826 727797 831768 935739 970396 1069416 1247652 1455594 1871478 1940792 2183391 2495304 2911188 3742956 4366782 5822376 6550173 7485912 8733564 13100346 17467128 26200692 52401384