Search a number
-
+
50401200 = 2435297433
BaseRepresentation
bin1100000001000…
…0111110110000
310111211122110010
43000100332300
5100400314300
65000134520
71151255163
oct300207660
9114748403
1050401200
11264a5193
1214a67440
13a598bc5
14699dada
154658a50
hex3010fb0

50401200 has 120 divisors (see below), whose sum is σ = 163493008. Its totient is φ = 13271040.

The previous prime is 50401193. The next prime is 50401223. The reversal of 50401200 is 210405.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×504012002 = 5080561922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116184 + ... + 116616.

Almost surely, 250401200 is an apocalyptic number.

50401200 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 50401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81746504).

50401200 is an abundant number, since it is smaller than the sum of its proper divisors (113091808).

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

50401200 is a wasteful number, since it uses less digits than its factorization.

50401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 50401200 is about 7099.3802546420. The cubic root of 50401200 is about 369.3858816770.

Adding to 50401200 its reverse (210405), we get a palindrome (50611605).

The spelling of 50401200 in words is "fifty million, four hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 97 100 120 150 194 200 240 291 300 388 400 433 485 582 600 776 866 970 1164 1200 1299 1455 1552 1732 1940 2165 2328 2425 2598 2910 3464 3880 4330 4656 4850 5196 5820 6495 6928 7275 7760 8660 9700 10392 10825 11640 12990 14550 17320 19400 20784 21650 23280 25980 29100 32475 34640 38800 42001 43300 51960 58200 64950 84002 86600 103920 116400 126003 129900 168004 173200 210005 252006 259800 336008 420010 504012 519600 630015 672016 840020 1008024 1050025 1260030 1680040 2016048 2100050 2520060 3150075 3360080 4200100 5040120 6300150 8400200 10080240 12600300 16800400 25200600 50401200