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461056240 = 24521292707
BaseRepresentation
bin11011011110110…
…010100011110000
31012010120002021001
4123132302203300
51421012244430
6113430011344
714265625201
oct3336624360
91163502231
10461056240
11217288417
1210a4a6b54
137469b258
14453395a8
152a7243ca
hex1b7b28f0

461056240 has 40 divisors (see below), whose sum is σ = 1072855440. Its totient is φ = 184267776.

The previous prime is 461056171. The next prime is 461056241. The reversal of 461056240 is 42650164.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 461056199 and 461056208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461056241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168967 + ... + 171673.

It is an arithmetic number, because the mean of its divisors is an integer number (26821386).

Almost surely, 2461056240 is an apocalyptic number.

461056240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461056240 is an abundant number, since it is smaller than the sum of its proper divisors (611799200).

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

461056240 is a wasteful number, since it uses less digits than its factorization.

461056240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 461056240 is about 21472.2201926117. The cubic root of 461056240 is about 772.5346507151.

The spelling of 461056240 in words is "four hundred sixty-one million, fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2129 2707 4258 5414 8516 10645 10828 13535 17032 21290 21656 27070 34064 42580 43312 54140 85160 108280 170320 216560 5763203 11526406 23052812 28816015 46105624 57632030 92211248 115264060 230528120 461056240