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50700144 = 24311131733
BaseRepresentation
bin1100000101100…
…1111101110000
310112101211112010
43001121331300
5100434401034
65010402520
71153641555
oct301317560
9115354463
1050700144
1126689850
1214b90440
13a671cb1
146a3aa2c
1546b73e9
hex3059f70

50700144 has 80 divisors (see below), whose sum is σ = 144169344. Its totient is φ = 15225600.

The previous prime is 50700127. The next prime is 50700157. The reversal of 50700144 is 44100705.

50700144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 50700144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68802 + ... + 69534.

Almost surely, 250700144 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 50700144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72084672).

50700144 is an abundant number, since it is smaller than the sum of its proper divisors (93469200).

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

50700144 is a wasteful number, since it uses less digits than its factorization.

50700144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 50700144 is about 7120.4033593610. The cubic root of 50700144 is about 370.1147537899.

Adding to 50700144 its reverse (44100705), we get a palindrome (94800849).

The spelling of 50700144 in words is "fifty million, seven hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 131 132 176 262 264 393 524 528 733 786 1048 1441 1466 1572 2096 2199 2882 2932 3144 4323 4398 5764 5864 6288 8063 8646 8796 11528 11728 16126 17292 17592 23056 24189 32252 34584 35184 48378 64504 69168 96023 96756 129008 192046 193512 288069 384092 387024 576138 768184 1056253 1152276 1536368 2112506 2304552 3168759 4225012 4609104 6337518 8450024 12675036 16900048 25350072 50700144