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2428835920 = 245724713183
BaseRepresentation
bin1001000011000101…
…0001100001010000
320021021021122111221
42100301101201100
514433240222140
61041002214424
7114121523200
oct22061214120
96237248457
102428835920
111037018415
125794b4414
132c9273b24
14190808400
15e337014a
hex90c51850

2428835920 has 120 divisors (see below), whose sum is σ = 6709284864. Its totient is φ = 814963968.

The previous prime is 2428835879. The next prime is 2428835921. The reversal of 2428835920 is 295388242.

It is a super-7 number, since 7×24288359207 (a number of 67 digits) contains 7777777 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428835921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177649 + ... + 190831.

Almost surely, 22428835920 is an apocalyptic number.

2428835920 is a gapful number since it is divisible by the number (20) 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 2428835920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354642432).

2428835920 is an abundant number, since it is smaller than the sum of its proper divisors (4280448944).

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

2428835920 is a wasteful number, since it uses less digits than its factorization.

2428835920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13257 (or 13244 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 2428835920 is about 49283.2214856131. The cubic root of 2428835920 is about 1344.2067101041.

The spelling of 2428835920 in words is "two billion, four hundred twenty-eight million, eight hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 49 56 70 80 94 98 112 140 188 196 235 245 280 329 376 392 470 490 560 658 752 784 940 980 1316 1645 1880 1960 2303 2632 3290 3760 3920 4606 5264 6580 9212 11515 13160 13183 18424 23030 26320 26366 36848 46060 52732 65915 92120 92281 105464 131830 184240 184562 210928 263660 369124 461405 527320 619601 645967 738248 922810 1054640 1239202 1291934 1476496 1845620 2478404 2583868 3098005 3229835 3691240 4337207 4956808 5167736 6196010 6459670 7382480 8674414 9913616 10335472 12392020 12919340 17348828 21686035 24784040 25838680 30360449 34697656 43372070 49568080 51677360 60720898 69395312 86744140 121441796 151802245 173488280 242883592 303604490 346976560 485767184 607208980 1214417960 2428835920