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50238144 = 263411881
BaseRepresentation
bin1011111110100…
…1001011000000
310111112100210000
42333221023000
5100330110034
64552440000
71150005615
oct277511300
9114470700
1050238144
11263a3730
12149a9000
13a53c918
14695a50c
154625599
hex2fe92c0

50238144 has 140 divisors (see below), whose sum is σ = 162644328. Its totient is φ = 15206400.

The previous prime is 50238127. The next prime is 50238151. The reversal of 50238144 is 44183205.

50238144 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 2×502381442 = 5047742225129472, which contains 22 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 56584 + ... + 57464.

Almost surely, 250238144 is an apocalyptic number.

50238144 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 50238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81322164).

50238144 is an abundant number, since it is smaller than the sum of its proper divisors (112406184).

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

50238144 is a wasteful number, since it uses less digits than its factorization.

50238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 50238144 is about 7087.8871322842. The cubic root of 50238144 is about 368.9871103965.

The spelling of 50238144 in words is "fifty million, two hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 881 891 1056 1188 1296 1584 1728 1762 1782 2112 2376 2592 2643 3168 3524 3564 4752 5184 5286 6336 7048 7128 7929 9504 9691 10572 14096 14256 15858 19008 19382 21144 23787 28192 28512 29073 31716 38764 42288 47574 56384 57024 58146 63432 71361 77528 84576 87219 95148 116292 126864 142722 155056 169152 174438 190296 232584 253728 261657 285444 310112 348876 380592 465168 507456 523314 570888 620224 697752 761184 784971 930336 1046628 1141776 1395504 1522368 1569942 1860672 2093256 2283552 2791008 3139884 4186512 4567104 5582016 6279768 8373024 12559536 16746048 25119072 50238144