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50454144 = 2733131123
BaseRepresentation
bin1100000001110…
…1111010000000
310111221100002000
43000131322000
5100404013034
65001224000
71151565426
oct300357200
9114840060
1050454144
1126530a44
1214a92000
13a5b7030
1469b5116
154669599
hex301de80

50454144 has 128 divisors (see below), whose sum is σ = 160507200. Its totient is φ = 15510528.

The previous prime is 50454133. The next prime is 50454163. The reversal of 50454144 is 44145405.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44367 + ... + 45489.

Almost surely, 250454144 is an apocalyptic number.

50454144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80253600).

50454144 is an abundant number, since it is smaller than the sum of its proper divisors (110053056).

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

50454144 is a wasteful number, since it uses less digits than its factorization.

50454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 50454144 is about 7103.1080521135. The cubic root of 50454144 is about 369.5151770265.

Adding to 50454144 its reverse (44145405), we get a palindrome (94599549).

The spelling of 50454144 in words is "fifty million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1123 1152 1248 1404 1664 1728 1872 2246 2496 2808 3369 3456 3744 4492 4992 5616 6738 7488 8984 10107 11232 13476 14599 14976 17968 20214 22464 26952 29198 30321 35936 40428 43797 44928 53904 58396 60642 71872 80856 87594 107808 116792 121284 131391 143744 161712 175188 215616 233584 242568 262782 323424 350376 394173 431232 467168 485136 525564 646848 700752 788346 934336 970272 1051128 1293696 1401504 1576692 1868672 1940544 2102256 2803008 3153384 3881088 4204512 5606016 6306768 8409024 12613536 16818048 25227072 50454144