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50115072 = 29375979
BaseRepresentation
bin1011111100101…
…1001000000000
310111022002221210
42333023020000
5100312140242
64550050120
71145654040
oct277131000
9114262853
1050115072
112631a217
1214949940
13a4c88b7
146927720
1545edd9c
hex2fcb200

50115072 has 160 divisors (see below), whose sum is σ = 157132800. Its totient is φ = 13897728.

The previous prime is 50115071. The next prime is 50115073. The reversal of 50115072 is 27051105.

It is an interprime number because it is at equal distance from previous prime (50115071) and next prime (50115073).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50115071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634329 + ... + 634407.

It is an arithmetic number, because the mean of its divisors is an integer number (982080).

Almost surely, 250115072 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 50115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78566400).

50115072 is an abundant number, since it is smaller than the sum of its proper divisors (107017728).

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

50115072 is an equidigital number, since it uses as much as digits as its factorization.

50115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 50115072 is about 7079.1999547972. The cubic root of 50115072 is about 368.6855525788.

Adding to 50115072 its reverse (27051105), we get a palindrome (77166177).

The spelling of 50115072 in words is "fifty million, one hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 79 84 96 112 118 128 158 168 177 192 224 236 237 256 316 336 354 384 413 448 472 474 512 553 632 672 708 768 826 896 944 948 1106 1239 1264 1344 1416 1536 1652 1659 1792 1888 1896 2212 2478 2528 2688 2832 3304 3318 3584 3776 3792 4424 4661 4956 5056 5376 5664 6608 6636 7552 7584 8848 9322 9912 10112 10752 11328 13216 13272 13983 15104 15168 17696 18644 19824 20224 22656 26432 26544 27966 30208 30336 32627 35392 37288 39648 40448 45312 52864 53088 55932 60672 65254 70784 74576 79296 90624 97881 105728 106176 111864 121344 130508 141568 149152 158592 195762 211456 212352 223728 261016 283136 298304 317184 391524 424704 447456 522032 596608 634368 783048 849408 894912 1044064 1193216 1566096 1789824 2088128 2386432 3132192 3579648 4176256 6264384 7159296 8352512 12528768 16705024 25057536 50115072