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2048078196 = 223417371837
BaseRepresentation
bin111101000010011…
…0011000101110100
312021201211011010000
41322010303011310
513143302000241
6535121231300
7101516243313
oct17204630564
95251734100
102048078196
119610a550a
12491a92530
1326840bab8
1415601227a
15bec0ceb6
hex7a133174

2048078196 has 60 divisors (see below), whose sum is σ = 5669042148. Its totient is φ = 642532608.

The previous prime is 2048078183. The next prime is 2048078243. The reversal of 2048078196 is 6918708402.

2048078196 is a `hidden beast` number, since 2 + 0 + 480 + 7 + 81 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1388307600 + 659770596 = 37260^2 + 25686^2 .

It is a super-3 number, since 3×20480781963 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180411 + ... + 191426.

Almost surely, 22048078196 is an apocalyptic number.

It is an amenable number.

2048078196 is an abundant number, since it is smaller than the sum of its proper divisors (3620963952).

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

2048078196 is a wasteful number, since it uses less digits than its factorization.

2048078196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371870 (or 371859 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2048078196 is about 45255.6979395965. The cubic root of 2048078196 is about 1269.9370039226.

The spelling of 2048078196 in words is "two billion, forty-eight million, seventy-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 371837 743674 1115511 1487348 2231022 3346533 4462044 6321229 6693066 10039599 12642458 13386132 18963687 20079198 25284916 30118797 37927374 40158396 56891061 60237594 75854748 113782122 120475188 170673183 227564244 341346366 512019549 682692732 1024039098 2048078196