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52124160 = 293511617
BaseRepresentation
bin1100011011010…
…1101000000000
310122002011220110
43012311220000
5101320433120
65101111320
71202022324
oct306655000
9118064813
1052124160
1127471720
1215558540
13aa501ca
146ccb984
1548992e0
hex31b5a00

52124160 has 160 divisors (see below), whose sum is σ = 182077632. Its totient is φ = 12615680.

The previous prime is 52124131. The next prime is 52124167. The reversal of 52124160 is 6142125.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (52124167) 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, 84172 + ... + 84788.

Almost surely, 252124160 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 52124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91038816).

52124160 is an abundant number, since it is smaller than the sum of its proper divisors (129953472).

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

52124160 is a wasteful number, since it uses less digits than its factorization.

52124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 52124160 is about 7219.7063652201. The cubic root of 52124160 is about 373.5479491638.

Adding to 52124160 its reverse (6142125), we get a palindrome (58266285).

The spelling of 52124160 in words is "fifty-two million, one hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 617 640 660 704 768 880 960 1056 1234 1280 1320 1408 1536 1760 1851 1920 2112 2468 2560 2640 2816 3085 3520 3702 3840 4224 4936 5280 5632 6170 6787 7040 7404 7680 8448 9255 9872 10560 12340 13574 14080 14808 16896 18510 19744 20361 21120 24680 27148 28160 29616 33935 37020 39488 40722 42240 49360 54296 59232 67870 74040 78976 81444 84480 98720 101805 108592 118464 135740 148080 157952 162888 197440 203610 217184 236928 271480 296160 315904 325776 394880 407220 434368 473856 542960 592320 651552 789760 814440 868736 947712 1085920 1184640 1303104 1579520 1628880 1737472 2171840 2369280 2606208 3257760 3474944 4343680 4738560 5212416 6515520 8687360 10424832 13031040 17374720 26062080 52124160