Search a number
-
+
50361120 = 2532541853
BaseRepresentation
bin1100000000011…
…1001100100000
310111202121110200
43000013030200
5100343023440
64555225200
71151030265
oct300071440
9114677420
1050361120
1126478067
1214a48200
13a5838a4
14698d26c
15464bc30
hex3007320

50361120 has 144 divisors (see below), whose sum is σ = 176255352. Its totient is φ = 13086720.

The previous prime is 50361119. The next prime is 50361121. The reversal of 50361120 is 2116305.

50361120 is a `hidden beast` number, since 50 + 3 + 611 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (50361119) and next prime (50361121).

It can be written as a sum of positive squares in 4 ways, for example, as 13927824 + 36433296 = 3732^2 + 6036^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 50361093 and 50361102.

It is not an unprimeable number, because it can be changed into a prime (50361121) 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, 58614 + ... + 59466.

Almost surely, 250361120 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 50361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88127676).

50361120 is an abundant number, since it is smaller than the sum of its proper divisors (125894232).

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

50361120 is a wasteful number, since it uses less digits than its factorization.

50361120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 50361120 is about 7096.5569116298. The cubic root of 50361120 is about 369.2879414674.

Adding to 50361120 its reverse (2116305), we get a palindrome (52477425).

The spelling of 50361120 in words is "fifty million, three hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 853 984 1230 1312 1440 1476 1640 1706 1845 1968 2460 2559 2952 3280 3412 3690 3936 4265 4920 5118 5904 6560 6824 7380 7677 8530 9840 10236 11808 12795 13648 14760 15354 17060 19680 20472 25590 27296 29520 30708 34120 34973 38385 40944 51180 59040 61416 68240 69946 76770 81888 102360 104919 122832 136480 139892 153540 174865 204720 209838 245664 279784 307080 314757 349730 409440 419676 524595 559568 614160 629514 699460 839352 1049190 1119136 1228320 1259028 1398920 1573785 1678704 2098380 2518056 2797840 3147570 3357408 4196760 5036112 5595680 6295140 8393520 10072224 12590280 16787040 25180560 50361120