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50120820 = 22325307907
BaseRepresentation
bin1011111100110…
…0100001110100
310111022101211200
42333030201310
5100312331240
64550132500
71146006561
oct277144164
9114271750
1050120820
1126323572
1214951130
13a4cb3b9
146929868
154600930
hex2fcc874

50120820 has 72 divisors (see below), whose sum is σ = 152696544. Its totient is φ = 13307328.

The previous prime is 50120813. The next prime is 50120821. The reversal of 50120820 is 2802105.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 50120793 and 50120802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50120821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54807 + ... + 55713.

Almost surely, 250120820 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 50120820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76348272).

50120820 is an abundant number, since it is smaller than the sum of its proper divisors (102575724).

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

50120820 is a wasteful number, since it uses less digits than its factorization.

50120820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 50120820 is about 7079.6059212360. The cubic root of 50120820 is about 368.6996476302.

Adding to 50120820 its reverse (2802105), we get a palindrome (52922925).

It can be divided in two parts, 501 and 20820, that added together give a triangular number (21321 = T206).

The spelling of 50120820 in words is "fifty million, one hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 907 921 1228 1535 1814 1842 2721 2763 3070 3628 3684 4535 4605 5442 5526 6140 8163 9070 9210 10884 11052 13605 13815 16326 18140 18420 27210 27630 32652 40815 54420 55260 81630 163260 278449 556898 835347 1113796 1392245 1670694 2506041 2784490 3341388 4176735 5012082 5568980 8353470 10024164 12530205 16706940 25060410 50120820