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2048310048 = 253193792963
BaseRepresentation
bin111101000010110…
…1011101100100000
312021202020221011010
41322011223230200
513143331410143
6535130220520
7101521230261
oct17205535440
95252227133
102048310048
11961243724
12491b84740
132684904a5
14156072968
15bec56a33
hex7a16bb20

2048310048 has 96 divisors (see below), whose sum is σ = 5676652800. Its totient is φ = 644910336.

The previous prime is 2048310001. The next prime is 2048310053. The reversal of 2048310048 is 8400138402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2048309997 and 2048310024.

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, 689815 + ... + 692777.

It is an arithmetic number, because the mean of its divisors is an integer number (59131800).

Almost surely, 22048310048 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 2048310048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838326400).

2048310048 is an abundant number, since it is smaller than the sum of its proper divisors (3628342752).

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

2048310048 is a wasteful number, since it uses less digits than its factorization.

2048310048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2048310048 is about 45258.2594451002. The cubic root of 2048310048 is about 1269.9849230442.

The spelling of 2048310048 in words is "two billion, forty-eight million, three hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 379 456 608 758 912 1137 1516 1824 2274 2963 3032 4548 5926 6064 7201 8889 9096 11852 12128 14402 17778 18192 21603 23704 28804 35556 36384 43206 47408 56297 57608 71112 86412 94816 112594 115216 142224 168891 172824 225188 230432 284448 337782 345648 450376 675564 691296 900752 1122977 1351128 1801504 2245954 2702256 3368931 4491908 5404512 6737862 8983816 13475724 17967632 21336563 26951448 35935264 42673126 53902896 64009689 85346252 107805792 128019378 170692504 256038756 341385008 512077512 682770016 1024155024 2048310048