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50902830 = 23451129197
BaseRepresentation
bin1100001000101…
…1011100101110
310112210010120000
43002023130232
5101012342310
65015005130
71155444516
oct302133456
9115703500
1050902830
1126808060
12150697a6
13a713324
146a90846
1547074c0
hex308b72e

50902830 has 160 divisors (see below), whose sum is σ = 155247840. Its totient is φ = 11854080.

The previous prime is 50902829. The next prime is 50902903. The reversal of 50902830 is 3820905.

50902830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 50902794 and 50902803.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 258292 + ... + 258488.

It is an arithmetic number, because the mean of its divisors is an integer number (970299).

Almost surely, 250902830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50902830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77623920).

50902830 is an abundant number, since it is smaller than the sum of its proper divisors (104345010).

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

50902830 is a wasteful number, since it uses less digits than its factorization.

50902830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 50902830 is about 7134.6219241106. The cubic root of 50902830 is about 370.6073055412.

The spelling of 50902830 in words is "fifty million, nine hundred two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 81 87 90 99 110 135 145 162 165 174 197 198 261 270 290 297 319 330 394 405 435 495 522 591 594 638 783 810 870 891 957 985 990 1182 1305 1485 1566 1595 1773 1782 1914 1970 2167 2349 2610 2871 2955 2970 3190 3546 3915 4334 4455 4698 4785 5319 5713 5742 5910 6501 7830 8613 8865 8910 9570 10638 10835 11426 11745 13002 14355 15957 17139 17226 17730 19503 21670 23490 25839 26595 28565 28710 31914 32505 34278 39006 43065 51417 51678 53190 57130 58509 62843 65010 79785 85695 86130 97515 102834 117018 125686 129195 154251 159570 171390 175527 188529 195030 257085 258390 292545 308502 314215 351054 377058 462753 514170 565587 585090 628430 771255 877635 925506 942645 1131174 1542510 1696761 1755270 1885290 2313765 2827935 3393522 4627530 5090283 5655870 8483805 10180566 16967610 25451415 50902830