Search a number
-
+
50610420 = 2234574463
BaseRepresentation
bin1100000100010…
…0000011110100
310112020021110000
43001010003310
5100424013140
65004431300
71153116150
oct301040364
9115207400
1050610420
11266283a3
1214b48530
13a6401c3
146a16060
15469aa30
hex30440f4

50610420 has 120 divisors (see below), whose sum is σ = 181488384. Its totient is φ = 11565504.

The previous prime is 50610407. The next prime is 50610421. The reversal of 50610420 is 2401605.

It is a happy number.

50610420 is a `hidden beast` number, since 50 + 610 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×506104202 = 5122829225152800, which contains 22 as substring.

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 = 50610393 and 50610402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50610421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9109 + ... + 13571.

Almost surely, 250610420 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 50610420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

50610420 is an abundant number, since it is smaller than the sum of its proper divisors (130877964).

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

50610420 is a wasteful number, since it uses less digits than its factorization.

50610420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 50610420 is about 7114.1000836367. The cubic root of 50610420 is about 369.8962942859.

The spelling of 50610420 in words is "fifty million, six hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 4463 5670 8926 11340 13389 17852 22315 26778 31241 40167 44630 53556 62482 66945 80334 89260 93723 120501 124964 133890 156205 160668 187446 200835 241002 267780 281169 312410 361503 374892 401670 468615 482004 562338 602505 624820 723006 803340 843507 937230 1124676 1205010 1405845 1446012 1687014 1807515 1874460 2410020 2530521 2811690 3374028 3615030 4217535 5061042 5623380 7230060 8435070 10122084 12652605 16870140 25305210 50610420