Search a number
-
+
49612050 = 23252412689
BaseRepresentation
bin1011110101000…
…0010100010010
310110100112221100
42331100110102
5100200041200
64531205230
71141460355
oct275202422
9113315840
1049612050
11260062a4
1214746816
13a380957
14683629c
15454ed00
hex2f50512

49612050 has 72 divisors (see below), whose sum is σ = 136592820. Its totient is φ = 12902400.

The previous prime is 49612049. The next prime is 49612061. The reversal of 49612050 is 5021694.

49612050 is a `hidden beast` number, since 49 + 612 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 205209 + 49406841 = 453^2 + 7029^2 .

It is a super-2 number, since 2×496120502 = 4922711010405000, which contains 22 as substring.

It is a Curzon 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 35 ways as a sum of consecutive naturals, for example, 17106 + ... + 19794.

Almost surely, 249612050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49612050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68296410).

49612050 is an abundant number, since it is smaller than the sum of its proper divisors (86980770).

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

49612050 is a wasteful number, since it uses less digits than its factorization.

49612050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 49612050 is about 7043.5821852237. The cubic root of 49612050 is about 367.4478615468.

The spelling of 49612050 in words is "forty-nine million, six hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 2689 3075 3690 5378 6150 8067 9225 13445 16134 18450 24201 26890 40335 48402 67225 80670 110249 121005 134450 201675 220498 242010 330747 403350 551245 605025 661494 992241 1102490 1210050 1653735 1984482 2756225 3307470 4961205 5512450 8268675 9922410 16537350 24806025 49612050