Search a number
-
+
50310144 = 2103253103
BaseRepresentation
bin1011111111101…
…0110000000000
310111200000112200
42333322300000
5100334411034
64554153200
71150425543
oct277726000
9114600480
1050310144
1126442835
1214a22800
13a566621
14697885a
15463ba99
hex2ffac00

50310144 has 132 divisors (see below), whose sum is σ = 149447376. Its totient is φ = 16293888.

The previous prime is 50310137. The next prime is 50310173. The reversal of 50310144 is 44101305.

It is a happy number.

50310144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×503101442 = 5062221178601472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 488397 + ... + 488499.

Almost surely, 250310144 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 50310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74723688).

50310144 is an abundant number, since it is smaller than the sum of its proper divisors (99137232).

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

50310144 is a wasteful number, since it uses less digits than its factorization.

50310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 50310144 is about 7092.9644014333. The cubic root of 50310144 is about 369.1633004928.

Adding to 50310144 its reverse (44101305), we get a palindrome (94411449).

The spelling of 50310144 in words is "fifty million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 103 106 128 144 159 192 206 212 256 288 309 318 384 412 424 477 512 576 618 636 768 824 848 927 954 1024 1152 1236 1272 1536 1648 1696 1854 1908 2304 2472 2544 3072 3296 3392 3708 3816 4608 4944 5088 5459 6592 6784 7416 7632 9216 9888 10176 10918 13184 13568 14832 15264 16377 19776 20352 21836 26368 27136 29664 30528 32754 39552 40704 43672 49131 52736 54272 59328 61056 65508 79104 81408 87344 98262 105472 118656 122112 131016 158208 162816 174688 196524 237312 244224 262032 316416 349376 393048 474624 488448 524064 698752 786096 949248 1048128 1397504 1572192 2096256 2795008 3144384 4192512 5590016 6288768 8385024 12577536 16770048 25155072 50310144