Search a number
-
+
2095046928 = 2432134192671
BaseRepresentation
bin111110011011111…
…1110000100010000
312102000012102002200
41330313332010100
513242313000203
6543520043200
7102626414352
oct17467760420
95360172080
102095046928
11985665847
124a5763500
13275075550
1415c35b0d2
15c3dd99a3
hex7cdfe110

2095046928 has 120 divisors (see below), whose sum is σ = 6331678080. Its totient is φ = 642850560.

The previous prime is 2095046909. The next prime is 2095046953. The reversal of 2095046928 is 8296405902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783033 + ... + 785703.

It is an arithmetic number, because the mean of its divisors is an integer number (52763984).

Almost surely, 22095046928 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 2095046928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165839040).

2095046928 is an abundant number, since it is smaller than the sum of its proper divisors (4236631152).

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

2095046928 is a wasteful number, since it uses less digits than its factorization.

2095046928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2095046928 is about 45771.6825996161. The cubic root of 2095046928 is about 1279.5715786268.

The spelling of 2095046928 in words is "two billion, ninety-five million, forty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 419 468 624 838 936 1257 1676 1872 2514 2671 3352 3771 5028 5342 5447 6704 7542 8013 10056 10684 10894 15084 16026 16341 20112 21368 21788 24039 30168 32052 32682 34723 42736 43576 48078 49023 60336 64104 65364 69446 87152 96156 98046 104169 128208 130728 138892 192312 196092 208338 261456 277784 312507 384624 392184 416676 555568 625014 784368 833352 1119149 1250028 1666704 2238298 2500056 3357447 4476596 5000112 6714894 8953192 10072341 13429788 14548937 17906384 20144682 26859576 29097874 40289364 43646811 53719152 58195748 80578728 87293622 116391496 130940433 161157456 174587244 232782992 261880866 349174488 523761732 698348976 1047523464 2095046928