Search a number
-
+
7242393450 = 2352971393581
BaseRepresentation
bin1101011111010111…
…00010011101101010
3200200201211201002110
412233223202131222
5104313023042300
63154353343150
7344321220465
oct65753423552
920621751073
107242393450
113087162436
1214a1567ab6
138b55b4316
144c9c162dc
152c5c49550
hex1afae276a

7242393450 has 96 divisors (see below), whose sum is σ = 18281954880. Its totient is φ = 1897113600.

The previous prime is 7242393443. The next prime is 7242393451. The reversal of 7242393450 is 543932427.

It is a junction number, because it is equal to n+sod(n) for n = 7242393399 and 7242393408.

It is not an unprimeable number, because it can be changed into a prime (7242393451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2020660 + ... + 2024240.

It is an arithmetic number, because the mean of its divisors is an integer number (190437030).

Almost surely, 27242393450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7242393450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140977440).

7242393450 is an abundant number, since it is smaller than the sum of its proper divisors (11039561430).

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

7242393450 is a wasteful number, since it uses less digits than its factorization.

7242393450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 7242393450 is about 85102.2529078990. The cubic root of 7242393450 is about 1934.7612095077.

The spelling of 7242393450 in words is "seven billion, two hundred forty-two million, three hundred ninety-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 97 139 150 194 278 291 417 485 582 695 834 970 1390 1455 2085 2425 2910 3475 3581 4170 4850 6950 7162 7275 10425 10743 13483 14550 17905 20850 21486 26966 35810 40449 53715 67415 80898 89525 107430 134830 179050 202245 268575 337075 347357 404490 497759 537150 674150 694714 995518 1011225 1042071 1493277 1736785 2022450 2084142 2488795 2986554 3473570 4977590 5210355 7466385 8683925 10420710 12443975 14932770 17367850 24887950 26051775 37331925 48282623 52103550 74663850 96565246 144847869 241413115 289695738 482826230 724239345 1207065575 1448478690 2414131150 3621196725 7242393450