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2072956928 = 2127197367
BaseRepresentation
bin111101110001110…
…1101000000000000
312100110122010022112
41323203231000000
513221134110203
6541410354452
7102240562130
oct17343550000
95313563275
102072956928
11974148249
1249a28ba28
1327060ca43
1415944aac0
15c1ec46d8
hex7b8ed000

2072956928 has 104 divisors (see below), whose sum is σ = 4774632192. Its totient is φ = 881491968.

The previous prime is 2072956927. The next prime is 2072956937. The reversal of 2072956928 is 8296592702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072956927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5648201 + ... + 5648567.

Almost surely, 22072956928 is an apocalyptic number.

2072956928 is a gapful number since it is divisible by the number (28) 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 2072956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387316096).

2072956928 is an abundant number, since it is smaller than the sum of its proper divisors (2701675264).

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

2072956928 is an equidigital number, since it uses as much as digits as its factorization.

2072956928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 2072956928 is about 45529.7367442422. The cubic root of 2072956928 is about 1275.0584472502.

The spelling of 2072956928 in words is "two billion, seventy-two million, nine hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 197 224 256 367 394 448 512 734 788 896 1024 1379 1468 1576 1792 2048 2569 2758 2936 3152 3584 4096 5138 5516 5872 6304 7168 10276 11032 11744 12608 14336 20552 22064 23488 25216 28672 41104 44128 46976 50432 72299 82208 88256 93952 100864 144598 164416 176512 187904 201728 289196 328832 353024 375808 403456 506093 578392 657664 706048 751616 806912 1012186 1156784 1315328 1412096 1503232 2024372 2313568 2630656 2824192 4048744 4627136 5261312 5648384 8097488 9254272 10522624 16194976 18508544 32389952 37017088 64779904 74034176 129559808 148068352 259119616 296136704 518239232 1036478464 2072956928