Search a number
-
+
50138900 = 22527411747
BaseRepresentation
bin1011111101000…
…0111100010100
310111100022122022
42333100330110
5100313421100
64550352312
71146113360
oct277207424
9114308568
1050138900
1126336109
121495b698
13a5066b6
1469322a0
154605e85
hex2fd0f14

50138900 has 72 divisors (see below), whose sum is σ = 127450176. Its totient is φ = 16761600.

The previous prime is 50138897. The next prime is 50138909. The reversal of 50138900 is 983105.

It is a self number, because there is not a number n which added to its sum of digits gives 50138900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50138909) 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, 27827 + ... + 29573.

Almost surely, 250138900 is an apocalyptic number.

50138900 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 50138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63725088).

50138900 is an abundant number, since it is smaller than the sum of its proper divisors (77311276).

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

50138900 is a wasteful number, since it uses less digits than its factorization.

50138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 50138900 is about 7080.8827133345. The cubic root of 50138900 is about 368.7439757706.

The spelling of 50138900 in words is "fifty million, one hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 1747 2050 2870 3494 4100 5740 6988 7175 8735 12229 14350 17470 24458 28700 34940 43675 48916 61145 71627 87350 122290 143254 174700 244580 286508 305725 358135 501389 611450 716270 1002778 1222900 1432540 1790675 2005556 2506945 3581350 5013890 7162700 10027780 12534725 25069450 50138900