Search a number
-
+
2046625440 = 25354263803
BaseRepresentation
bin111100111111101…
…0000011010100000
312021122002100022020
41321333100122200
513142414003230
6535030141440
7101501013006
oct17177203240
95248070266
102046625440
119602a2a92
124914b1880
13268020792
14155b54a76
15bea22810
hex79fd06a0

2046625440 has 48 divisors (see below), whose sum is σ = 6446871648. Its totient is φ = 545766656.

The previous prime is 2046625421. The next prime is 2046625459. The reversal of 2046625440 is 445266402.

2046625440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2046625421) and next prime (2046625459).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2131422 + ... + 2132381.

It is an arithmetic number, because the mean of its divisors is an integer number (134309826).

Almost surely, 22046625440 is an apocalyptic number.

2046625440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2046625440 is an abundant number, since it is smaller than the sum of its proper divisors (4400246208).

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

2046625440 is a wasteful number, since it uses less digits than its factorization.

2046625440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263821 (or 4263813 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 2046625440 is about 45239.6445609379. The cubic root of 2046625440 is about 1269.6366662708.

The spelling of 2046625440 in words is "two billion, forty-six million, six hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4263803 8527606 12791409 17055212 21319015 25582818 34110424 42638030 51165636 63957045 68220848 85276060 102331272 127914090 136441696 170552120 204662544 255828180 341104240 409325088 511656360 682208480 1023312720 2046625440