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575520100 = 225223992
BaseRepresentation
bin100010010011011…
…011110101100100
31111002221110011021
4202103123311210
52134313120400
6133035220524
720155561111
oct4223336544
91432843137
10575520100
11275958851
121408a7744
139230734c
1456613908
15357d471a
hex224dbd64

575520100 has 27 divisors (see below), whose sum is σ = 1249399417. Its totient is φ = 230112080.

The previous prime is 575520097. The next prime is 575520131. The reversal of 575520100 is 1025575.

It is a happy number.

The square root of 575520100 is 23990.

It is a perfect power (a square), and thus also a powerful number.

575520100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 207187236 + 368332864 = 14394^2 + 19192^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 238701 + ... + 241099.

Almost surely, 2575520100 is an apocalyptic number.

575520100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

575520100 is the 23990-th square number.

It is an amenable number.

575520100 is an abundant number, since it is smaller than the sum of its proper divisors (673879317).

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

575520100 is an equidigital number, since it uses as much as digits as its factorization.

575520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The cubic root of 575520100 is about 831.8023927430.

Multiplying 575520100 by its sum of digits (25), we get a square (14388002500 = 1199502).

575520100 divided by its sum of digits (25) gives a square (23020804 = 47982).

Adding to 575520100 its reverse (1025575), we get a palindrome (576545675).

The spelling of 575520100 in words is "five hundred seventy-five million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2399 4798 9596 11995 23990 47980 59975 119950 239900 5755201 11510402 23020804 28776005 57552010 115104020 143880025 287760050 575520100