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50542632 = 23327172347
BaseRepresentation
bin1100000011001…
…1100000101000
310112002211110100
43000303200220
5100414331012
65003145400
71152414420
oct300634050
9115084410
1050542632
1126591478
1214b15260
13a6183aa
1469d9480
1546858dc
hex3033828

50542632 has 144 divisors (see below), whose sum is σ = 166664160. Its totient is φ = 13552128.

The previous prime is 50542631. The next prime is 50542651. The reversal of 50542632 is 23624505.

It is a junction number, because it is equal to n+sod(n) for n = 50542596 and 50542605.

It is not an unprimeable number, because it can be changed into a prime (50542631) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145483 + ... + 145829.

It is an arithmetic number, because the mean of its divisors is an integer number (1157390).

Almost surely, 250542632 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 50542632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83332080).

50542632 is an abundant number, since it is smaller than the sum of its proper divisors (116121528).

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

50542632 is a wasteful number, since it uses less digits than its factorization.

50542632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 50542632 is about 7109.3341460365. The cubic root of 50542632 is about 369.7310731493.

The spelling of 50542632 in words is "fifty million, five hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 289 306 347 357 408 476 504 578 612 694 714 867 952 1041 1071 1156 1224 1388 1428 1734 2023 2082 2142 2312 2429 2601 2776 2856 3123 3468 4046 4164 4284 4858 5202 5899 6069 6246 6936 7287 8092 8328 8568 9716 10404 11798 12138 12492 14574 16184 17697 18207 19432 20808 21861 23596 24276 24984 29148 35394 36414 41293 43722 47192 48552 53091 58296 70788 72828 82586 87444 100283 106182 123879 141576 145656 165172 174888 200566 212364 247758 300849 330344 371637 401132 424728 495516 601698 701981 743274 802264 902547 991032 1203396 1403962 1486548 1805094 2105943 2406792 2807924 2973096 3610188 4211886 5615848 6317829 7220376 8423772 12635658 16847544 25271316 50542632