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52400520 = 23375599
BaseRepresentation
bin1100011111100…
…1000110001000
310122121020000000
43013321012020
5101403304040
65111043000
71204253124
oct307710610
9118536000
1052400520
1127640317
1215670460
13ab18c33
146d60584
154901130
hex31f9188

52400520 has 128 divisors (see below), whose sum is σ = 177120000. Its totient is φ = 13950144.

The previous prime is 52400507. The next prime is 52400521. The reversal of 52400520 is 2500425.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52400493 and 52400502.

It is not an unprimeable number, because it can be changed into a prime (52400521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87181 + ... + 87779.

It is an arithmetic number, because the mean of its divisors is an integer number (1383750).

Almost surely, 252400520 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 52400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88560000).

52400520 is an abundant number, since it is smaller than the sum of its proper divisors (124719480).

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

52400520 is an equidigital number, since it uses as much as digits as its factorization.

52400520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 52400520 is about 7238.8203458851. The cubic root of 52400520 is about 374.2069640997.

Adding to 52400520 its reverse (2500425), we get a palindrome (54900945).

The spelling of 52400520 in words is "fifty-two million, four hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 599 648 729 810 972 1080 1198 1215 1458 1620 1797 1944 2187 2396 2430 2916 2995 3240 3594 3645 4374 4792 4860 5391 5832 5990 7188 7290 8748 8985 9720 10782 10935 11980 14376 14580 16173 17496 17970 21564 21870 23960 26955 29160 32346 35940 43128 43740 48519 53910 64692 71880 80865 87480 97038 107820 129384 145557 161730 194076 215640 242595 291114 323460 388152 436671 485190 582228 646920 727785 873342 970380 1164456 1310013 1455570 1746684 1940760 2183355 2620026 2911140 3493368 4366710 5240052 5822280 6550065 8733420 10480104 13100130 17466840 26200260 52400520