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2001842496 = 26323475421
BaseRepresentation
bin111011101010001…
…1011000101000000
312011111211010122200
41313110123011000
513044432424441
6530350233200
7100415244333
oct16724330500
95144733580
102001842496
11937a95995
1247a4b5800
1325b970bb4
1414dc1861a
15bab287b6
hex7751b140

2001842496 has 42 divisors (see below), whose sum is σ = 5737921722. Its totient is φ = 667280640.

The previous prime is 2001842483. The next prime is 2001842501. The reversal of 2001842496 is 6942481002.

It can be written as a sum of positive squares in only one way, i.e., 1994872896 + 6969600 = 44664^2 + 2640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2001842496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1737135 + ... + 1738286.

Almost surely, 22001842496 is an apocalyptic number.

It is an amenable number.

2001842496 is an abundant number, since it is smaller than the sum of its proper divisors (3736079226).

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

2001842496 is a wasteful number, since it uses less digits than its factorization.

2001842496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475439 (or 3475426 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2001842496 is about 44741.9545393359. The cubic root of 2001842496 is about 1260.3078310612.

The spelling of 2001842496 in words is "two billion, one million, eight hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3475421 6950842 10426263 13901684 20852526 27803368 31278789 41705052 55606736 62557578 83410104 111213472 125115156 166820208 222426944 250230312 333640416 500460624 667280832 1000921248 2001842496