Search a number
-
+
48453700 = 22521812677
BaseRepresentation
bin1011100011010…
…1100001000100
310101011200222111
42320311201010
544401004300
64450310404
71125564301
oct270654104
9111150874
1048453700
1125394a89
1214288404
13a066639
1466140a8
1543c19ba
hex2e35844

48453700 has 36 divisors (see below), whose sum is σ = 105764932. Its totient is φ = 19267200.

The previous prime is 48453697. The next prime is 48453707. The reversal of 48453700 is 735484.

It can be written as a sum of positive squares in 6 ways, for example, as 25240576 + 23213124 = 5024^2 + 4818^2 .

It is a super-2 number, since 2×484537002 = 4695522087380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48453707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16762 + ... + 19438.

Almost surely, 248453700 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 48453700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52882466).

48453700 is an abundant number, since it is smaller than the sum of its proper divisors (57311232).

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

48453700 is a wasteful number, since it uses less digits than its factorization.

48453700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 48453700 is about 6960.8691985987. The cubic root of 48453700 is about 364.5655680777.

The spelling of 48453700 in words is "forty-eight million, four hundred fifty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 2677 3620 4525 5354 9050 10708 13385 18100 26770 53540 66925 133850 267700 484537 969074 1938148 2422685 4845370 9690740 12113425 24226850 48453700