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2048967520 = 25531141177
BaseRepresentation
bin111101000100000…
…1100001101100000
312021210111100000221
41322020030031200
513144013430040
6535152252424
7101526636145
oct17210141540
95253440027
102048967520
11961652696
12492241114
13268660822
141561a43cc
15bed3674a
hex7a20c360

2048967520 has 48 divisors (see below), whose sum is σ = 4856368608. Its totient is φ = 816931840.

The previous prime is 2048967511. The next prime is 2048967521. The reversal of 2048967520 is 257698402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048967521) 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, 29172 + ... + 70348.

It is an arithmetic number, because the mean of its divisors is an integer number (101174346).

Almost surely, 22048967520 is an apocalyptic number.

2048967520 is a gapful number since it is divisible by the number (20) 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 2048967520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428184304).

2048967520 is an abundant number, since it is smaller than the sum of its proper divisors (2807401088).

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

2048967520 is a wasteful number, since it uses less digits than its factorization.

2048967520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41503 (or 41495 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 2048967520 is about 45265.5224204913. The cubic root of 2048967520 is about 1270.1207895530.

The spelling of 2048967520 in words is "two billion, forty-eight million, nine hundred sixty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 311 622 1244 1555 2488 3110 4976 6220 9952 12440 24880 41177 49760 82354 164708 205885 329416 411770 658832 823540 1317664 1647080 3294160 6588320 12806047 25612094 51224188 64030235 102448376 128060470 204896752 256120940 409793504 512241880 1024483760 2048967520