Search a number
-
+
53739168 = 2537211379
BaseRepresentation
bin1100110011111…
…1111010100000
310202010020021120
43030333322200
5102224123133
65155452240
71221526650
oct314777240
9122106246
1053739168
112837503a
1215bb7080
13b197332
1471cc360
154ab7ab3
hex333fea0

53739168 has 96 divisors (see below), whose sum is σ = 162408960. Its totient is φ = 15240960.

The previous prime is 53739167. The next prime is 53739181. The reversal of 53739168 is 86193735.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (53739167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141603 + ... + 141981.

It is an arithmetic number, because the mean of its divisors is an integer number (1691760).

Almost surely, 253739168 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 53739168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81204480).

53739168 is an abundant number, since it is smaller than the sum of its proper divisors (108669792).

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

53739168 is a wasteful number, since it uses less digits than its factorization.

53739168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 602 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 53739168 is about 7330.7003758168. The cubic root of 53739168 is about 377.3667626227.

It can be divided in two parts, 5373 and 9168, that added together give a palindrome (14541).

The spelling of 53739168 in words is "fifty-three million, seven hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 211 224 336 379 422 633 672 758 844 1137 1266 1477 1516 1688 2274 2532 2653 2954 3032 3376 4431 4548 5064 5306 5908 6064 6752 7959 8862 9096 10128 10612 11816 12128 15918 17724 18192 20256 21224 23632 31836 35448 36384 42448 47264 63672 70896 79969 84896 127344 141792 159938 239907 254688 319876 479814 559783 639752 959628 1119566 1279504 1679349 1919256 2239132 2559008 3358698 3838512 4478264 6717396 7677024 8956528 13434792 17913056 26869584 53739168