Search a number
-
+
4492724192 = 2511219173353
BaseRepresentation
bin1000010111100100…
…11000011111100000
3102121002212000222022
410023302120133200
533200114133232
62021450401012
7216222345155
oct41362303740
912532760868
104492724192
1119a6031200
12a54730168
13567a29ba8
1430897422c
151b4652812
hex10bc987e0

4492724192 has 144 divisors (see below), whose sum is σ = 10322257680. Its totient is φ = 1918033920.

The previous prime is 4492724189. The next prime is 4492724227. The reversal of 4492724192 is 2914272944.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12727088 + ... + 12727440.

It is an arithmetic number, because the mean of its divisors is an integer number (71682345).

Almost surely, 24492724192 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 4492724192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161128840).

4492724192 is an abundant number, since it is smaller than the sum of its proper divisors (5829533488).

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

4492724192 is a wasteful number, since it uses less digits than its factorization.

4492724192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 558 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 4492724192 is about 67027.7867156599. The cubic root of 4492724192 is about 1650.0733597013.

The spelling of 4492724192 in words is "four billion, four hundred ninety-two million, seven hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 121 152 173 176 209 242 304 346 352 353 418 484 608 692 706 836 968 1384 1412 1672 1903 1936 2299 2768 2824 3287 3344 3806 3872 3883 4598 5536 5648 6574 6688 6707 7612 7766 9196 11296 13148 13414 15224 15532 18392 20933 26296 26828 30448 31064 36157 36784 41866 42713 52592 53656 60896 61069 62128 72314 73568 73777 83732 85426 105184 107312 122138 124256 144628 147554 167464 170852 214624 244276 289256 295108 334928 341704 397727 488552 578512 590216 669856 671759 683408 795454 811547 977104 1157024 1160311 1180432 1343518 1366816 1590908 1623094 1954208 2320622 2360864 2687036 3181816 3246188 4641244 5374072 6363632 6492376 7389349 9282488 10748144 12727264 12763421 12984752 14778698 18564976 21496288 25526842 25969504 29557396 37129952 51053684 59114792 102107368 118229584 140397631 204214736 236459168 280795262 408429472 561590524 1123181048 2246362096 4492724192