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2428501248 = 28321397583
BaseRepresentation
bin1001000010111111…
…1111110100000000
320021020122122102200
42100233333310000
514433144014443
61040551113200
7114115630365
oct22057776400
96236578380
102428501248
111036909a28
12579372800
132c91876b4
1419075c46c
15e3305dd3
hex90bffd00

2428501248 has 108 divisors (see below), whose sum is σ = 7053271680. Its totient is φ = 803570688.

The previous prime is 2428501247. The next prime is 2428501249. The reversal of 2428501248 is 8421058242.

2428501248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2428501247) and next prime (2428501249).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428501247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316465 + ... + 324047.

Almost surely, 22428501248 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 2428501248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526635840).

2428501248 is an abundant number, since it is smaller than the sum of its proper divisors (4624770432).

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

2428501248 is a wasteful number, since it uses less digits than its factorization.

2428501248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7744 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2428501248 is about 49279.8259737187. The cubic root of 2428501248 is about 1344.1449673561.

The spelling of 2428501248 in words is "two billion, four hundred twenty-eight million, five hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 556 576 768 834 1112 1152 1251 1668 2224 2304 2502 3336 4448 5004 6672 7583 8896 10008 13344 15166 17792 20016 22749 26688 30332 35584 40032 45498 53376 60664 68247 80064 90996 106752 121328 136494 160128 181992 242656 272988 320256 363984 485312 545976 727968 970624 1054037 1091952 1455936 1941248 2108074 2183904 2911872 3162111 4216148 4367808 5823744 6324222 8432296 8735616 9486333 12648444 16864592 17471232 18972666 25296888 33729184 37945332 50593776 67458368 75890664 101187552 134916736 151781328 202375104 269833472 303562656 404750208 607125312 809500416 1214250624 2428501248