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53713440 = 25325113391
BaseRepresentation
bin1100110011100…
…1101000100000
310202001220222200
43030321220200
5102222312230
65155133200
71221361644
oct314715040
9122056880
1053713440
1128357780
1215ba4200
13b188701
1471c2c24
154ab0160
hex3339a20

53713440 has 144 divisors (see below), whose sum is σ = 200019456. Its totient is φ = 13017600.

The previous prime is 53713411. The next prime is 53713463. The reversal of 53713440 is 4431735.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14145 + ... + 17535.

It is an arithmetic number, because the mean of its divisors is an integer number (1389024).

Almost surely, 253713440 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 53713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100009728).

53713440 is an abundant number, since it is smaller than the sum of its proper divisors (146306016).

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

53713440 is a wasteful number, since it uses less digits than its factorization.

53713440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53713440 is about 7328.9453538691. The cubic root of 53713440 is about 377.3065306898.

The spelling of 53713440 in words is "fifty-three million, seven hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3391 3960 5280 6782 7920 10173 13564 15840 16955 20346 27128 30519 33910 37301 40692 50865 54256 61038 67820 74602 81384 101730 108512 111903 122076 135640 149204 152595 162768 186505 203460 223806 244152 271280 298408 305190 325536 335709 373010 406920 447612 488304 542560 559515 596816 610380 671418 746020 813840 895224 976608 1119030 1193632 1220760 1342836 1492040 1627680 1678545 1790448 2238060 2441520 2685672 2984080 3357090 3580896 4476120 4883040 5371344 5968160 6714180 8952240 10742688 13428360 17904480 26856720 53713440