Search a number
-
+
50084100 = 223252115059
BaseRepresentation
bin1011111100001…
…1100100000100
310111020112110200
42333003210010
5100310142400
64545250500
71145464533
oct277034404
9114215420
1050084100
11262a8a20
1214933a30
13a4b7781
14691a31a
1545e4b00
hex2fc3904

50084100 has 108 divisors (see below), whose sum is σ = 171291120. Its totient is φ = 12139200.

The previous prime is 50084081. The next prime is 50084113. The reversal of 50084100 is 148005.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7371 + ... + 12429.

Almost surely, 250084100 is an apocalyptic number.

50084100 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 50084100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85645560).

50084100 is an abundant number, since it is smaller than the sum of its proper divisors (121207020).

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

50084100 is a wasteful number, since it uses less digits than its factorization.

50084100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090 (or 5080 counting only the distinct ones).

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

The square root of 50084100 is about 7077.0120813801. The cubic root of 50084100 is about 368.6095855317.

The spelling of 50084100 in words is "fifty million, eighty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 5059 9900 10118 15177 20236 25295 30354 45531 50590 55649 60708 75885 91062 101180 111298 126475 151770 166947 182124 222596 227655 252950 278245 303540 333894 379425 455310 500841 505900 556490 667788 758850 834735 910620 1001682 1112980 1138275 1391225 1517700 1669470 2003364 2276550 2504205 2782450 3338940 4173675 4553100 5008410 5564900 8347350 10016820 12521025 16694700 25042050 50084100