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2428841550 = 2352109149997
BaseRepresentation
bin1001000011000101…
…0010111001001110
320021021021221020110
42100301102321032
514433240412200
61041002300450
7114121545462
oct22061227116
96237257213
102428841550
111037021673
125794b7726
132c9276565
1419080a4a2
15e3371b50
hex90c52e4e

2428841550 has 96 divisors (see below), whose sum is σ = 6125724000. Its totient is φ = 636802560.

The previous prime is 2428841539. The next prime is 2428841551. The reversal of 2428841550 is 551488242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2428841499 and 2428841508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428841551) 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, 2435652 + ... + 2436648.

It is an arithmetic number, because the mean of its divisors is an integer number (63809625).

Almost surely, 22428841550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428841550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062862000).

2428841550 is an abundant number, since it is smaller than the sum of its proper divisors (3696882450).

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

2428841550 is a wasteful number, since it uses less digits than its factorization.

2428841550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 2428841550 is about 49283.2786044111. The cubic root of 2428841550 is about 1344.2077487193.

The spelling of 2428841550 in words is "two billion, four hundred twenty-eight million, eight hundred forty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 109 149 150 218 298 327 447 545 654 745 894 997 1090 1490 1635 1994 2235 2725 2991 3270 3725 4470 4985 5450 5982 7450 8175 9970 11175 14955 16241 16350 22350 24925 29910 32482 48723 49850 74775 81205 97446 108673 148553 149550 162410 217346 243615 297106 326019 406025 445659 487230 543365 652038 742765 812050 891318 1086730 1218075 1485530 1630095 2228295 2436150 2716825 3260190 3713825 4456590 5433650 7427650 8150475 11141475 16192277 16300950 22282950 32384554 48576831 80961385 97153662 161922770 242884155 404806925 485768310 809613850 1214420775 2428841550