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1940402500 = 22548812
BaseRepresentation
bin111001110101000…
…0011000101000100
312000020012122211021
41303222003011010
512433220340000
6520313320524
766041102101
oct16352030504
95006178737
101940402500
11906341133
12461a06144
1324c00b67a
141459c3aa8
15b553e11a
hex73a83144

1940402500 has 45 divisors (see below), whose sum is σ = 4248094081. Its totient is φ = 775280000.

The previous prime is 1940402489. The next prime is 1940402533. The reversal of 1940402500 is 52040491.

The square root of 1940402500 is 44050.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1897996356 + 42406144 = 43566^2 + 6512^2 .

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

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2202060 + ... + 2202940.

Almost surely, 21940402500 is an apocalyptic number.

1940402500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1940402500 is the 44050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940402500

1940402500 is an abundant number, since it is smaller than the sum of its proper divisors (2307691581).

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

1940402500 is an frugal number, since it uses more digits than its factorization.

1940402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 1940402500 is about 1247.2799520312.

Multiplying 1940402500 by its sum of digits (25), we get a square (48510062500 = 2202502).

1940402500 divided by its sum of digits (25) gives a square (77616100 = 88102).

Adding to 1940402500 its reverse (52040491), we get a palindrome (1992442991).

The spelling of 1940402500 in words is "one billion, nine hundred forty million, four hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 881 1250 1762 2500 3524 4405 8810 17620 22025 44050 88100 110125 220250 440500 550625 776161 1101250 1552322 2202500 3104644 3880805 7761610 15523220 19404025 38808050 77616100 97020125 194040250 388080500 485100625 970201250 1940402500