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50828000 = 255397131
BaseRepresentation
bin1100000111100…
…1001011100000
310112122022220112
43001321023200
5101002444000
65013230452
71155013406
oct301711340
9115568815
1050828000
1126766913
1215032428
13a6b8252
146a71476
1546e0235
hex30792e0

50828000 has 96 divisors (see below), whose sum is σ = 127135008. Its totient is φ = 19968000.

The previous prime is 50827993. The next prime is 50828023. The reversal of 50828000 is 82805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387935 + ... + 388065.

It is an arithmetic number, because the mean of its divisors is an integer number (1324323).

Almost surely, 250828000 is an apocalyptic number.

50828000 is a gapful number since it is divisible by the number (50) 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 50828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63567504).

50828000 is an abundant number, since it is smaller than the sum of its proper divisors (76307008).

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

50828000 is a wasteful number, since it uses less digits than its factorization.

50828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 50828000 is about 7129.3758492592. The cubic root of 50828000 is about 370.4256120071.

The spelling of 50828000 in words is "fifty million, eight hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 131 160 194 200 250 262 388 400 485 500 524 655 776 800 970 1000 1048 1310 1552 1940 2000 2096 2425 2620 3104 3275 3880 4000 4192 4850 5240 6550 7760 9700 10480 12125 12707 13100 15520 16375 19400 20960 24250 25414 26200 32750 38800 48500 50828 52400 63535 65500 77600 97000 101656 104800 127070 131000 194000 203312 254140 262000 317675 388000 406624 508280 524000 635350 1016560 1270700 1588375 2033120 2541400 3176750 5082800 6353500 10165600 12707000 25414000 50828000