Search a number
-
+
5342990900 = 22521310140693
BaseRepresentation
bin1001111100111011…
…11001001000110100
3111210100210001121212
410332131321020310
541420301202100
62242102500552
7246255446642
oct47635711064
914710701555
105342990900
1122a1a85165
121051434758
13671c2c6a0
14389866192
15214108635
hex13e779234

5342990900 has 72 divisors (see below), whose sum is σ = 12610093944. Its totient is φ = 1953216000.

The previous prime is 5342990881. The next prime is 5342990909. The reversal of 5342990900 is 90992435.

It can be written as a sum of positive squares in 12 ways, for example, as 1183772836 + 4159218064 = 34406^2 + 64492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5342990909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110954 + ... + 151646.

Almost surely, 25342990900 is an apocalyptic number.

5342990900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5342990900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305046972).

5342990900 is an abundant number, since it is smaller than the sum of its proper divisors (7267103044).

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

5342990900 is a wasteful number, since it uses less digits than its factorization.

5342990900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40821 (or 40814 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 5342990900 is about 73095.7652672164. The cubic root of 5342990900 is about 1748.2148762654.

It can be divided in two parts, 53429 and 90900, that multiplied together give a square (4856696100 = 696902).

The spelling of 5342990900 in words is "five billion, three hundred forty-two million, nine hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 202 260 325 404 505 650 1010 1300 1313 2020 2525 2626 5050 5252 6565 10100 13130 26260 32825 40693 65650 81386 131300 162772 203465 406930 529009 813860 1017325 1058018 2034650 2116036 2645045 4069300 4109993 5290090 8219986 10580180 13225225 16439972 20549965 26450450 41099930 52900900 53429909 82199860 102749825 106859818 205499650 213719636 267149545 410999300 534299090 1068598180 1335747725 2671495450 5342990900