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2093576928 = 253177317573
BaseRepresentation
bin111110011001001…
…0111001011100000
312101220102201122020
41330302113023200
513241423430203
6543424341440
7102611052552
oct17462271340
95356381566
102093576928
11984851373
124a5174880
1327497c421
1415c0974d2
15c3be9153
hex7cc972e0

2093576928 has 96 divisors (see below), whose sum is σ = 5898959136. Its totient is φ = 647774208.

The previous prime is 2093576869. The next prime is 2093576941. The reversal of 2093576928 is 8296753902.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 110350 + ... + 127922.

It is an arithmetic number, because the mean of its divisors is an integer number (61447491).

Almost surely, 22093576928 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 2093576928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949479568).

2093576928 is an abundant number, since it is smaller than the sum of its proper divisors (3805382208).

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

2093576928 is a wasteful number, since it uses less digits than its factorization.

2093576928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17676 (or 17668 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 2093576928 is about 45755.6218185263. The cubic root of 2093576928 is about 1279.2722360365.

The spelling of 2093576928 in words is "two billion, ninety-three million, five hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 73 96 102 136 146 204 219 272 292 408 438 544 584 816 876 1168 1241 1632 1752 2336 2482 3504 3723 4964 7008 7446 9928 14892 17573 19856 29784 35146 39712 52719 59568 70292 105438 119136 140584 210876 281168 298741 421752 562336 597482 843504 896223 1194964 1282829 1687008 1792446 2389928 2565658 3584892 3848487 4779856 5131316 7169784 7696974 9559712 10262632 14339568 15393948 20525264 21808093 28679136 30787896 41050528 43616186 61575792 65424279 87232372 123151584 130848558 174464744 261697116 348929488 523394232 697858976 1046788464 2093576928