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52460352 = 263374337
BaseRepresentation
bin1100100000011…
…1101101000000
310122201021002000
43020013231000
5101412212402
65112224000
71204622430
oct310075500
9118637060
1052460352
112768126a
121569b000
13ab3a239
146d782c0
154913c1c
hex3207b40

52460352 has 112 divisors (see below), whose sum is σ = 176296320. Its totient is φ = 14985216.

The previous prime is 52460329. The next prime is 52460357. The reversal of 52460352 is 25306425.

52460352 is a `hidden beast` number, since 5 + 2 + 4 + 603 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52460357) 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, 9928 + ... + 14264.

Almost surely, 252460352 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 52460352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88148160).

52460352 is an abundant number, since it is smaller than the sum of its proper divisors (123835968).

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

52460352 is a wasteful number, since it uses less digits than its factorization.

52460352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 52460352 is about 7242.9518844184. The cubic root of 52460352 is about 374.3493356821.

Adding to 52460352 its reverse (25306425), we get a palindrome (77766777).

The spelling of 52460352 in words is "fifty-two million, four hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 4337 6048 8674 12096 13011 17348 26022 30359 34696 39033 52044 60718 69392 78066 91077 104088 117099 121436 138784 156132 182154 208176 234198 242872 273231 277568 312264 364308 416352 468396 485744 546462 624528 728616 819693 832704 936792 971488 1092924 1249056 1457232 1639386 1873584 1942976 2185848 2498112 2914464 3278772 3747168 4371696 5828928 6557544 7494336 8743392 13115088 17486784 26230176 52460352