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52047424 = 261131347
BaseRepresentation
bin1100011010001…
…0111001000000
310121221021122101
43012202321000
5101311004144
65055320144
71201252522
oct306427100
9117837571
1052047424
112741a000
1215520054
13aa242c0
146caba12
1548816d4
hex31a2e40

52047424 has 112 divisors (see below), whose sum is σ = 124943616. Its totient is φ = 21373440.

The previous prime is 52047407. The next prime is 52047449. The reversal of 52047424 is 42474025.

It is a happy number.

It is a super-3 number, since 3×520474243 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52047392 and 52047401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107369 + ... + 1107415.

It is an arithmetic number, because the mean of its divisors is an integer number (1115568).

Almost surely, 252047424 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 52047424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62471808).

52047424 is an abundant number, since it is smaller than the sum of its proper divisors (72896192).

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

52047424 is a wasteful number, since it uses less digits than its factorization.

52047424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 52047424 is about 7214.3900643090. The cubic root of 52047424 is about 373.3645495440.

The spelling of 52047424 in words is "fifty-two million, forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 64 88 94 104 121 143 176 188 208 242 286 352 376 416 484 517 572 611 704 752 832 968 1034 1144 1222 1331 1504 1573 1936 2068 2288 2444 2662 3008 3146 3872 4136 4576 4888 5324 5687 6292 6721 7744 8272 9152 9776 10648 11374 12584 13442 16544 17303 19552 21296 22748 25168 26884 33088 34606 39104 42592 45496 50336 53768 62557 69212 73931 85184 90992 100672 107536 125114 138424 147862 181984 215072 250228 276848 295724 363968 430144 500456 553696 591448 813241 1000912 1107392 1182896 1626482 2001824 2365792 3252964 4003648 4731584 6505928 13011856 26023712 52047424