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2048402440 = 235721313433
BaseRepresentation
bin111101000011000…
…0010010000001000
312021202102121220001
41322012002100020
513143342334230
6535132212344
7101522063530
oct17206022010
95252377801
102048402440
119612a7087
1249200a0b4
132684c3566
141560984c0
15bec740ca
hex7a182408

2048402440 has 64 divisors (see below), whose sum is σ = 5271327360. Its totient is φ = 701775360.

The previous prime is 2048402423. The next prime is 2048402441. The reversal of 2048402440 is 442048402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2048402399 and 2048402408.

It is not an unprimeable number, because it can be changed into a prime (2048402441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594964 + ... + 598396.

It is an arithmetic number, because the mean of its divisors is an integer number (82364490).

Almost surely, 22048402440 is an apocalyptic number.

2048402440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048402440 is an abundant number, since it is smaller than the sum of its proper divisors (3222924920).

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

2048402440 is a wasteful number, since it uses less digits than its factorization.

2048402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 2048402440 is about 45259.2801533564. The cubic root of 2048402440 is about 1270.0040175953.

The spelling of 2048402440 in words is "two billion, forty-eight million, four hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2131 3433 4262 6866 8524 10655 13732 14917 17048 17165 21310 24031 27464 29834 34330 42620 48062 59668 68660 74585 85240 96124 119336 120155 137320 149170 192248 240310 298340 480620 596680 961240 7315723 14631446 29262892 36578615 51210061 58525784 73157230 102420122 146314460 204840244 256050305 292628920 409680488 512100610 1024201220 2048402440