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52430560 = 2557132277
BaseRepresentation
bin1100100000000…
…0011011100000
310122122202012121
43020000123200
5101410234220
65111434024
71204436530
oct310003340
9118582177
1052430560
1127660946
1215685914
13ab29800
146d6b4c0
154909eaa
hex32006e0

52430560 has 144 divisors (see below), whose sum is σ = 153842976. Its totient is φ = 16533504.

The previous prime is 52430551. The next prime is 52430569. The reversal of 52430560 is 6503425.

It is an interprime number because it is at equal distance from previous prime (52430551) and next prime (52430569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52430569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189142 + ... + 189418.

It is an arithmetic number, because the mean of its divisors is an integer number (1068354).

Almost surely, 252430560 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 52430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76921488).

52430560 is an abundant number, since it is smaller than the sum of its proper divisors (101412416).

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

52430560 is a wasteful number, since it uses less digits than its factorization.

52430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 52430560 is about 7240.8949723083. The cubic root of 52430560 is about 374.2784584906.

Adding to 52430560 its reverse (6503425), we get a palindrome (58933985).

The spelling of 52430560 in words is "fifty-two million, four hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 169 182 208 224 260 277 280 338 364 416 455 520 554 560 676 728 845 910 1040 1108 1120 1183 1352 1385 1456 1690 1820 1939 2080 2216 2366 2704 2770 2912 3380 3601 3640 3878 4432 4732 5408 5540 5915 6760 7202 7280 7756 8864 9464 9695 11080 11830 13520 14404 14560 15512 18005 18928 19390 22160 23660 25207 27040 28808 31024 36010 37856 38780 44320 46813 47320 50414 57616 62048 72020 77560 93626 94640 100828 115232 126035 144040 155120 187252 189280 201656 234065 252070 288080 310240 327691 374504 403312 468130 504140 576160 655382 749008 806624 936260 1008280 1310764 1498016 1638455 1872520 2016560 2621528 3276910 3745040 4033120 5243056 6553820 7490080 10486112 13107640 26215280 52430560