Search a number
-
+
2125358592 = 2937434597
BaseRepresentation
bin111111010101110…
…0110011000000000
312111010020101212220
41332223212120000
513323042433332
6550521451040
7103445151510
oct17653463000
95433211786
102125358592
119a0789405
124b3940a80
1327b429346
141623ab840
15c68c5d2c
hex7eae6600

2125358592 has 160 divisors (see below), whose sum is σ = 6622885632. Its totient is φ = 592994304.

The previous prime is 2125358591. The next prime is 2125358611. The reversal of 2125358592 is 2958535212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125358591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460038 + ... + 464634.

Almost surely, 22125358592 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 2125358592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311442816).

2125358592 is an abundant number, since it is smaller than the sum of its proper divisors (4497527040).

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

2125358592 is an equidigital number, since it uses as much as digits as its factorization.

2125358592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4652 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 2125358592 is about 46101.6115987283. The cubic root of 2125358592 is about 1285.7131082035.

The spelling of 2125358592 in words is "two billion, one hundred twenty-five million, three hundred fifty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 256 258 301 336 344 384 448 512 516 602 672 688 768 896 903 1032 1204 1344 1376 1536 1792 1806 2064 2408 2688 2752 3584 3612 4128 4597 4816 5376 5504 7224 8256 9194 9632 10752 11008 13791 14448 16512 18388 19264 22016 27582 28896 32179 33024 36776 38528 55164 57792 64358 66048 73552 77056 96537 110328 115584 128716 147104 154112 193074 197671 220656 231168 257432 294208 386148 395342 441312 462336 514864 588416 593013 772296 790684 882624 1029728 1176832 1186026 1383697 1544592 1581368 1765248 2059456 2353664 2372052 2767394 3089184 3162736 3530496 4118912 4151091 4744104 5534788 6178368 6325472 7060992 8237824 8302182 9488208 11069576 12356736 12650944 16475648 16604364 18976416 22139152 24713472 25301888 33208728 37952832 44278304 49426944 50603776 66417456 75905664 88556608 101207552 132834912 151811328 177113216 265669824 303622656 354226432 531339648 708452864 1062679296 2125358592