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2048260768 = 252331107839
BaseRepresentation
bin111101000010101…
…1111101010100000
312021202011102112221
41322011133222200
513143323321033
6535125200424
7101520633511
oct17205375240
95252142487
102048260768
1196120a6a4
12491b60114
13268473c28
1415605ca08
15bec4712d
hex7a15faa0

2048260768 has 96 divisors (see below), whose sum is σ = 4389396480. Its totient is φ = 938023680.

The previous prime is 2048260757. The next prime is 2048260783. The reversal of 2048260768 is 8670628402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2440893 + ... + 2441731.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 22048260768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048260768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194698240).

2048260768 is an abundant number, since it is smaller than the sum of its proper divisors (2341135712).

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

2048260768 is a wasteful number, since it uses less digits than its factorization.

2048260768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 2048260768 is about 45257.7150108133. The cubic root of 2048260768 is about 1269.9747381670.

The spelling of 2048260768 in words is "two billion, forty-eight million, two hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 107 124 184 214 248 368 428 496 713 736 839 856 992 1426 1678 1712 2461 2852 3317 3356 3424 4922 5704 6634 6712 9844 11408 13268 13424 19297 19688 22816 26009 26536 26848 38594 39376 52018 53072 76291 77188 78752 89773 104036 106144 152582 154376 179546 208072 305164 308752 359092 416144 598207 610328 617504 718184 832288 1196414 1220656 1436368 2064779 2392828 2441312 2782963 2872736 4129558 4785656 5565926 8259116 9571312 11131852 16518232 19142624 22263704 33036464 44527408 64008149 66072928 89054816 128016298 256032596 512065192 1024130384 2048260768