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50229424 = 24717233137
BaseRepresentation
bin1011111110011…
…1000010110000
310111111220211001
42333213002300
5100324320144
64552331344
71146641320
oct277470260
9114456731
1050229424
1126398123
12149a3b54
13a53896b
146957280
154622bd4
hex2fe70b0

50229424 has 160 divisors (see below), whose sum is σ = 130277376. Its totient is φ = 18247680.

The previous prime is 50229419. The next prime is 50229427. The reversal of 50229424 is 42492205.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 50229392 and 50229401.

It is not an unprimeable number, because it can be changed into a prime (50229427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357534 + ... + 1357570.

Almost surely, 250229424 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 50229424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65138688).

50229424 is an abundant number, since it is smaller than the sum of its proper divisors (80047952).

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

50229424 is a wasteful number, since it uses less digits than its factorization.

50229424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 50229424 is about 7087.2719716404. The cubic root of 50229424 is about 368.9657603921.

It can be divided in two parts, 50229 and 424, that added together give a cube (50653 = 373).

The spelling of 50229424 in words is "fifty million, two hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 23 28 31 34 37 46 56 62 68 74 92 112 119 124 136 148 161 184 217 238 248 259 272 296 322 368 391 434 476 496 518 527 592 629 644 713 782 851 868 952 1036 1054 1147 1258 1288 1426 1564 1702 1736 1904 2072 2108 2294 2516 2576 2737 2852 3128 3404 3472 3689 4144 4216 4403 4588 4991 5032 5474 5704 5957 6256 6808 7378 8029 8432 8806 9176 9982 10064 10948 11408 11914 12121 13616 14467 14756 16058 17612 18352 19499 19964 21896 23828 24242 26381 28934 29512 32116 35224 38998 39928 43792 47656 48484 52762 57868 59024 64232 70448 77996 79856 84847 95312 96968 101269 105524 115736 128464 136493 155992 169694 184667 193936 202538 211048 231472 272986 311984 339388 369334 405076 422096 448477 545972 678776 738668 810152 896954 1091944 1357552 1477336 1620304 1793908 2183888 2954672 3139339 3587816 6278678 7175632 12557356 25114712 50229424