Search a number
-
+
53459424 = 25321761179
BaseRepresentation
bin1100101111101…
…1100111100000
310201121000112200
43023323213200
5102141200144
65145453200
71216253244
oct313734740
9121530480
1053459424
11281a3947
1215aa1200
13b0c9bc5
147158424
154a5ec69
hex32fb9e0

53459424 has 144 divisors (see below), whose sum is σ = 164520720. Its totient is φ = 16404480.

The previous prime is 53459411. The next prime is 53459443. The reversal of 53459424 is 42495435.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 298567 + ... + 298745.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 253459424 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 53459424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82260360).

53459424 is an abundant number, since it is smaller than the sum of its proper divisors (111061296).

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

53459424 is a wasteful number, since it uses less digits than its factorization.

53459424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 53459424 is about 7311.5951747892. The cubic root of 53459424 is about 376.7108177378.

The spelling of 53459424 in words is "fifty-three million, four hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 61 68 72 96 102 122 136 144 153 179 183 204 244 272 288 306 358 366 408 488 537 544 549 612 716 732 816 976 1037 1074 1098 1224 1432 1464 1611 1632 1952 2074 2148 2196 2448 2864 2928 3043 3111 3222 4148 4296 4392 4896 5728 5856 6086 6222 6444 8296 8592 8784 9129 9333 10919 12172 12444 12888 16592 17184 17568 18258 18666 21838 24344 24888 25776 27387 32757 33184 36516 37332 43676 48688 49776 51552 54774 65514 73032 74664 87352 97376 98271 99552 109548 131028 146064 149328 174704 185623 196542 219096 262056 292128 298656 349408 371246 393084 438192 524112 556869 742492 786168 876384 1048224 1113738 1484984 1572336 1670607 2227476 2969968 3144672 3341214 4454952 5939936 6682428 8909904 13364856 17819808 26729712 53459424