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50005000 = 235473137
BaseRepresentation
bin1011111011000…
…0010000001000
310111002111222001
42332300100020
5100300130000
64543440344
71145015113
oct276602010
9114074861
1050005000
1126254551
12148b60b4
13a48a776
1468d957a
1545cb46a
hex2fb0408

50005000 has 80 divisors (see below), whose sum is σ = 119633580. Its totient is φ = 19584000.

The previous prime is 50004991. The next prime is 50005027. The reversal of 50005000 is 50005.

50005000 is a nontrivial binomial coefficient, being equal to C(10001, 2).

It can be written as a sum of positive squares in 10 ways, for example, as 2090916 + 47914084 = 1446^2 + 6922^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a Kaprekar number, because its square (2500500025000000) can be partitioned into two parts whose sum is 50005000.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 364932 + ... + 365068.

Almost surely, 250005000 is an apocalyptic number.

50005000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50005000 is the 10000-th triangular number.

50005000 is the 3334-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59816790).

50005000 is an abundant number, since it is smaller than the sum of its proper divisors (69628580).

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

50005000 is a wasteful number, since it uses less digits than its factorization.

50005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 10.

The square root of 50005000 is about 7071.4213564177. The cubic root of 50005000 is about 368.4154295597.

Adding to 50005000 its reverse (50005), we get a palindrome (50055005).

50005000 divided by its reverse (50005) gives a cube (1000 = 103).

It can be divided in two parts, 5000 and 5000, that added together give a 4-th power (10000 = 104).

The spelling of 50005000 in words is "fifty million, five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 137 146 200 250 274 292 365 500 548 584 625 685 730 1000 1096 1250 1370 1460 1825 2500 2740 2920 3425 3650 5000 5480 6850 7300 9125 10001 13700 14600 17125 18250 20002 27400 34250 36500 40004 45625 50005 68500 73000 80008 85625 91250 100010 137000 171250 182500 200020 250025 342500 365000 400040 500050 685000 1000100 1250125 2000200 2500250 5000500 6250625 10001000 12501250 25002500 50005000