Search a number
-
+
2442746000 = 24531221373
BaseRepresentation
bin1001000110011001…
…0101100010010000
320022020110100120002
42101212111202100
520000320333000
61042220305132
7114350666312
oct22146254220
96266410502
102442746000
111043959252
125820a21a8
132cc104346
141925c97b2
15e46bb8d5
hex91995890

2442746000 has 40 divisors (see below), whose sum is σ = 5906564664. Its totient is φ = 977097600.

The previous prime is 2442745999. The next prime is 2442746003. The reversal of 2442746000 is 6472442.

It can be written as a sum of positive squares in 4 ways, for example, as 208860304 + 2233885696 = 14452^2 + 47264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2442746003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608687 + ... + 612686.

Almost surely, 22442746000 is an apocalyptic number.

2442746000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442746000 is an abundant number, since it is smaller than the sum of its proper divisors (3463818664).

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

2442746000 is a wasteful number, since it uses less digits than its factorization.

2442746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221396 (or 1221380 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 2442746000 is about 49424.1438974920. The cubic root of 2442746000 is about 1346.7679426932.

The spelling of 2442746000 in words is "two billion, four hundred forty-two million, seven hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1221373 2442746 4885492 6106865 9770984 12213730 19541968 24427460 30534325 48854920 61068650 97709840 122137300 152671625 244274600 305343250 488549200 610686500 1221373000 2442746000