Search a number
-
+
50460240400 = 24521134392543
BaseRepresentation
bin101110111111101010…
…100010101000010000
311211020122211210202121
4232333222202220100
51311320310143100
635103042024024
73434310652333
oct567752425020
9154218753677
1050460240400
111a444543519
129943048014
1349b221381b
1426298d661a
1514a4ea751a
hexbbfaa2a10

50460240400 has 120 divisors (see below), whose sum is σ = 122630365440. Its totient is φ = 19952056320.

The previous prime is 50460240367. The next prime is 50460240427. The reversal of 50460240400 is 404206405.

50460240400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×504602404002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 19841529 + ... + 19844071.

It is an arithmetic number, because the mean of its divisors is an integer number (1021919712).

Almost surely, 250460240400 is an apocalyptic number.

50460240400 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 50460240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61315182720).

50460240400 is an abundant number, since it is smaller than the sum of its proper divisors (72170125040).

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

50460240400 is a wasteful number, since it uses less digits than its factorization.

50460240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 50460240400 its reverse (404206405), we get a palindrome (50864446805).

The spelling of 50460240400 in words is "fifty billion, four hundred sixty million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 200 226 400 439 452 565 878 904 1130 1756 1808 2195 2260 2543 2825 3512 4390 4520 5086 5650 7024 8780 9040 10172 10975 11300 12715 17560 20344 21950 22600 25430 35120 40688 43900 45200 49607 50860 63575 87800 99214 101720 127150 175600 198428 203440 248035 254300 287359 396856 496070 508600 574718 793712 992140 1017200 1116377 1149436 1240175 1436795 1984280 2232754 2298872 2480350 2873590 3968560 4465508 4597744 4960700 5581885 5747180 7183975 8931016 9921400 11163770 11494360 14367950 17862032 19842800 22327540 22988720 27909425 28735900 44655080 55818850 57471800 89310160 111637700 114943600 126150601 223275400 252301202 446550800 504602404 630753005 1009204808 1261506010 2018409616 2523012020 3153765025 5046024040 6307530050 10092048080 12615060100 25230120200 50460240400