Search a number
-
+
609538944 = 27371713339
BaseRepresentation
bin100100010101001…
…101001110000000
31120110221210020110
4210111031032000
52222020221234
6140252311320
721050665320
oct4425151600
91513853213
10609538944
112930836a3
12150172540
1399388641
145ad4b280
15387a41e9
hex2454d380

609538944 has 128 divisors (see below), whose sum is σ = 1959379200. Its totient is φ = 163897344.

The previous prime is 609538933. The next prime is 609538949. The reversal of 609538944 is 449835906.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 609538893 and 609538902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609538949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39027 + ... + 52365.

It is an arithmetic number, because the mean of its divisors is an integer number (15307650).

Almost surely, 2609538944 is an apocalyptic number.

609538944 is a gapful number since it is divisible by the number (64) 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 609538944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979689600).

609538944 is an abundant number, since it is smaller than the sum of its proper divisors (1349840256).

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

609538944 is a wasteful number, since it uses less digits than its factorization.

609538944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13380 (or 13368 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 609538944 is about 24688.8425002064. The cubic root of 609538944 is about 847.8788838534.

The spelling of 609538944 in words is "six hundred nine million, five hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 13339 15232 22848 26678 40017 45696 53356 80034 93373 106712 160068 186746 213424 226763 280119 320136 373492 426848 453526 560238 640272 680289 746984 853696 907052 1120476 1280544 1360578 1493968 1587341 1707392 1814104 2240952 2561088 2721156 2987936 3174682 3628208 4481904 4762023 5122176 5442312 5975872 6349364 7256416 8963808 9524046 10884624 11951744 12698728 14512832 17927616 19048092 21769248 25397456 29025664 35855232 38096184 43538496 50794912 76192368 87076992 101589824 152384736 203179648 304769472 609538944