[go: up one dir, main page]

Search a number
-
+
561454600 = 23527401039
BaseRepresentation
bin100001011101110…
…001111000001000
31110010110211220211
4201131301320020
52122213021400
6131413530504
716625166610
oct4135617010
91403424824
10561454600
11268a21173
12138043a34
138c421175
14547d1a40
1534456dba
hex21771e08

561454600 has 48 divisors (see below), whose sum is σ = 1491868800. Its totient is φ = 192498240.

The previous prime is 561454591. The next prime is 561454627. The reversal of 561454600 is 6454165.

It is a super-2 number, since 2×5614546002 = 630462535722320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199120 + ... + 201919.

It is an arithmetic number, because the mean of its divisors is an integer number (31080600).

Almost surely, 2561454600 is an apocalyptic number.

561454600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561454600 is an abundant number, since it is smaller than the sum of its proper divisors (930414200).

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

561454600 is a wasteful number, since it uses less digits than its factorization.

561454600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401062 (or 401053 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 561454600 is about 23695.0332348364. The cubic root of 561454600 is about 824.9701121710.

The spelling of 561454600 in words is "five hundred sixty-one million, four hundred fifty-four thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 401039 802078 1604156 2005195 2807273 3208312 4010390 5614546 8020780 10025975 11229092 14036365 16041560 20051950 22458184 28072730 40103900 56145460 70181825 80207800 112290920 140363650 280727300 561454600