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506421832 = 23741367601
BaseRepresentation
bin11110001011110…
…110001001001000
31022021220220011011
4132023312021020
52014120444312
6122130213304
715356341330
oct3613661110
91267826134
10506421832
1123a953244
12121724234
1380bc30b7
144b3880c0
152e6d5da7
hex1e2f6248

506421832 has 64 divisors (see below), whose sum is σ = 1116541440. Its totient is φ = 210816000.

The previous prime is 506421829. The next prime is 506421833. The reversal of 506421832 is 238124605.

It is a junction number, because it is equal to n+sod(n) for n = 506421794 and 506421803.

It is not an unprimeable number, because it can be changed into a prime (506421833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842332 + ... + 842932.

It is an arithmetic number, because the mean of its divisors is an integer number (17445960).

Almost surely, 2506421832 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 506421832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558270720).

506421832 is an abundant number, since it is smaller than the sum of its proper divisors (610119608).

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

506421832 is a wasteful number, since it uses less digits than its factorization.

506421832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 506421832 is about 22503.8181649248. The cubic root of 506421832 is about 797.0840889076.

It can be divided in two parts, 5064 and 21832, that added together give a square (26896 = 1642).

The spelling of 506421832 in words is "five hundred six million, four hundred twenty-one thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 367 574 601 734 1148 1202 1468 2296 2404 2569 2936 4207 4808 5138 8414 10276 15047 16828 20552 24641 30094 33656 49282 60188 98564 105329 120376 172487 197128 210658 220567 344974 421316 441134 689948 842632 882268 1379896 1543969 1764536 3087938 6175876 9043247 12351752 18086494 36172988 63302729 72345976 126605458 253210916 506421832