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52405344 = 25321961157
BaseRepresentation
bin1100011111101…
…0010001100000
310122121110121200
43013322101200
5101403432334
65111121200
71204303155
oct307722140
9118543550
1052405344
1127643a02
1215673200
13ab1b1a4
146d6222c
154902799
hex31fa460

52405344 has 144 divisors (see below), whose sum is σ = 160458480. Its totient is φ = 16174080.

The previous prime is 52405337. The next prime is 52405387. The reversal of 52405344 is 44350425.

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

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, 333714 + ... + 333870.

It is an arithmetic number, because the mean of its divisors is an integer number (1114295).

Almost surely, 252405344 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 52405344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80229240).

52405344 is an abundant number, since it is smaller than the sum of its proper divisors (108053136).

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

52405344 is a wasteful number, since it uses less digits than its factorization.

52405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 52405344 is about 7239.1535416788. The cubic root of 52405344 is about 374.2184469311.

Adding to 52405344 its reverse (44350425), we get a palindrome (96755769).

The spelling of 52405344 in words is "fifty-two million, four hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 61 72 76 96 114 122 144 152 157 171 183 228 244 288 304 314 342 366 456 471 488 549 608 628 684 732 912 942 976 1098 1159 1256 1368 1413 1464 1824 1884 1952 2196 2318 2512 2736 2826 2928 2983 3477 3768 4392 4636 5024 5472 5652 5856 5966 6954 7536 8784 8949 9272 9577 10431 11304 11932 13908 15072 17568 17898 18544 19154 20862 22608 23864 26847 27816 28731 35796 37088 38308 41724 45216 47728 53694 55632 57462 71592 76616 83448 86193 95456 107388 111264 114924 143184 153232 166896 172386 181963 214776 229848 286368 306464 333792 344772 363926 429552 459696 545889 689544 727852 859104 919392 1091778 1379088 1455704 1637667 2183556 2758176 2911408 3275334 4367112 5822816 6550668 8734224 13101336 17468448 26202672 52405344