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50713152 = 263797389
BaseRepresentation
bin1100000101110…
…1001001000000
310112102111100220
43001131021000
5100440310102
65010543040
71154024520
oct301351100
9115374326
1050713152
11266985a6
1214b97a80
13a677ba9
146a41680
1546bb1bc
hex305d240

50713152 has 112 divisors (see below), whose sum is σ = 155326080. Its totient is φ = 14303232.

The previous prime is 50713151. The next prime is 50713163. The reversal of 50713152 is 25131705.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (50713151) 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, 130174 + ... + 130562.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 250713152 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 50713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77663040).

50713152 is an abundant number, since it is smaller than the sum of its proper divisors (104612928).

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

50713152 is a wasteful number, since it uses less digits than its factorization.

50713152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 50713152 is about 7121.3167321781. The cubic root of 50713152 is about 370.1464041999.

Adding to 50713152 its reverse (25131705), we get a palindrome (75844857).

The spelling of 50713152 in words is "fifty million, seven hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 168 192 194 224 291 336 388 389 448 582 672 679 776 778 1164 1167 1344 1358 1552 1556 2037 2328 2334 2716 2723 3104 3112 4074 4656 4668 5432 5446 6208 6224 8148 8169 9312 9336 10864 10892 12448 16296 16338 18624 18672 21728 21784 24896 32592 32676 37344 37733 43456 43568 65184 65352 74688 75466 87136 113199 130368 130704 150932 174272 226398 261408 264131 301864 452796 522816 528262 603728 792393 905592 1056524 1207456 1584786 1811184 2113048 2414912 3169572 3622368 4226096 6339144 7244736 8452192 12678288 16904384 25356576 50713152