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2428336890 = 2325710913533
BaseRepresentation
bin1001000010111101…
…0111101011111010
320021020100021222100
42100233113223322
514433123240030
61040543404230
7114114344250
oct22057275372
96236307870
102428336890
1110368074a1
125792b3676
132c912a945
141907185d0
15e32c2360
hex90bd7afa

2428336890 has 96 divisors (see below), whose sum is σ = 7224287616. Its totient is φ = 554382720.

The previous prime is 2428336879. The next prime is 2428336907. The reversal of 2428336890 is 986338242.

2428336890 is a `hidden beast` number, since 2 + 4 + 283 + 368 + 9 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685564 + ... + 689096.

It is an arithmetic number, because the mean of its divisors is an integer number (75252996).

Almost surely, 22428336890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428336890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612143808).

2428336890 is an abundant number, since it is smaller than the sum of its proper divisors (4795950726).

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

2428336890 is a wasteful number, since it uses less digits than its factorization.

2428336890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2428336890 is about 49278.1583462694. The cubic root of 2428336890 is about 1344.1146433084.

The spelling of 2428336890 in words is "two billion, four hundred twenty-eight million, three hundred thirty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1091 2182 3273 3533 5455 6546 7066 7637 9819 10599 10910 15274 16365 17665 19638 21198 22911 24731 31797 32730 35330 38185 45822 49095 49462 52995 63594 68733 74193 76370 98190 105990 114555 123655 137466 148386 158985 222579 229110 247310 317970 343665 370965 445158 687330 741930 1112895 2225790 3854503 7709006 11563509 19272515 23127018 26981521 34690527 38545030 53963042 57817545 69381054 80944563 115635090 134907605 161889126 173452635 242833689 269815210 346905270 404722815 485667378 809445630 1214168445 2428336890