Search a number
-
+
2919392944 = 2413233716493
BaseRepresentation
bin1010111000000010…
…0110011010110000
321112110100112020121
42232000212122300
521434331033234
61201404420024
7132226300456
oct25600463260
97473315217
102919392944
111268a15146
12695847614
13376aa0a60
141d9a229d6
151214704b4
hexae0266b0

2919392944 has 80 divisors (see below), whose sum is σ = 6528457152. Its totient is φ = 1253919744.

The previous prime is 2919392929. The next prime is 2919392969. The reversal of 2919392944 is 4492939192.

It is a super-2 number, since 2×29193929442 = 17045710322953974272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 2919392891 and 2919392900.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 168762 + ... + 185254.

Almost surely, 22919392944 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 2919392944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264228576).

2919392944 is an abundant number, since it is smaller than the sum of its proper divisors (3609064208).

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

2919392944 is a wasteful number, since it uses less digits than its factorization.

2919392944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16574 (or 16568 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 52.

The square root of 2919392944 is about 54031.4070148095. The cubic root of 2919392944 is about 1429.2148434029.

The spelling of 2919392944 in words is "two billion, nine hundred nineteen million, three hundred ninety-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 37 46 52 74 92 104 148 184 208 296 299 368 481 592 598 851 962 1196 1702 1924 2392 3404 3848 4784 6808 7696 11063 13616 16493 22126 32986 44252 65972 88504 131944 177008 214409 263888 379339 428818 610241 758678 857636 1220482 1517356 1715272 2440964 3034712 3430544 4881928 4931407 6069424 7933133 9763856 9862814 14035543 15866266 19725628 28071086 31732532 39451256 56142172 63465064 78902512 112284344 126930128 182462059 224568688 364924118 729848236 1459696472 2919392944