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2048103408 = 2431319716661
BaseRepresentation
bin111101000010011…
…1001001111110000
312021201212102200210
41322010321033300
513143303302113
6535121544120
7101516406651
oct17204711760
95251772623
102048103408
1196111244a
12491aa5040
1326841a410
1415601b528
15bec156c3
hex7a1393f0

2048103408 has 80 divisors (see below), whose sum is σ = 5727195936. Its totient is φ = 626949120.

The previous prime is 2048103391. The next prime is 2048103419. The reversal of 2048103408 is 8043018402.

It is a super-2 number, since 2×20481034082 = 8389455139722428928, which contains 22 as substring.

It is a congruent number.

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, 114598 + ... + 131258.

Almost surely, 22048103408 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 2048103408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863597968).

2048103408 is an abundant number, since it is smaller than the sum of its proper divisors (3679092528).

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

2048103408 is a wasteful number, since it uses less digits than its factorization.

2048103408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16882 (or 16876 counting only the distinct ones).

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

The square root of 2048103408 is about 45255.9764892992. The cubic root of 2048103408 is about 1269.9422149086.

The spelling of 2048103408 in words is "two billion, forty-eight million, one hundred three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 197 208 312 394 591 624 788 1182 1576 2364 2561 3152 4728 5122 7683 9456 10244 15366 16661 20488 30732 33322 40976 49983 61464 66644 99966 122928 133288 199932 216593 266576 399864 433186 649779 799728 866372 1299558 1732744 2599116 3282217 3465488 5198232 6564434 9846651 10396464 13128868 19693302 26257736 39386604 42668821 52515472 78773208 85337642 128006463 157546416 170675284 256012926 341350568 512025852 682701136 1024051704 2048103408