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4428553140 = 22325112299767
BaseRepresentation
bin1000001111111011…
…00101101110110100
3102102122002210211200
410013331211232310
533032202200030
62011235132500
7214513036434
oct40775455664
912378083750
104428553140
111972891580
12a37144130
1355764c55b
1430022c2c4
151adbc8d60
hex107f65bb4

4428553140 has 144 divisors (see below), whose sum is σ = 14719985280. Its totient is φ = 1068791040.

The previous prime is 4428553127. The next prime is 4428553163. The reversal of 4428553140 is 413558244.

It is a happy number.

4428553140 is a `hidden beast` number, since 4 + 4 + 2 + 85 + 531 + 40 = 666.

It is a super-2 number, since 2×44285531402 = 39224165827607719200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4428553095 and 4428553104.

It is a congruent number.

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, 448537 + ... + 458303.

It is an arithmetic number, because the mean of its divisors is an integer number (102222120).

Almost surely, 24428553140 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 4428553140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359992640).

4428553140 is an abundant number, since it is smaller than the sum of its proper divisors (10291432140).

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

4428553140 is a wasteful number, since it uses less digits than its factorization.

4428553140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10022 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4428553140 is about 66547.3751548474. The cubic root of 4428553140 is about 1642.1794763868.

The spelling of 4428553140 in words is "four billion, four hundred twenty-eight million, five hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 229 330 396 458 495 660 687 916 990 1145 1374 1980 2061 2290 2519 2748 3435 4122 4580 5038 6870 7557 8244 9767 10076 10305 12595 13740 15114 19534 20610 22671 25190 29301 30228 37785 39068 41220 45342 48835 50380 58602 75570 87903 90684 97670 107437 113355 117204 146505 151140 175806 195340 214874 226710 293010 322311 351612 429748 439515 453420 537185 586020 644622 879030 966933 1074370 1289244 1611555 1758060 1933866 2148740 2236643 3223110 3867732 4473286 4834665 6446220 6709929 8946572 9669330 11183215 13419858 19338660 20129787 22366430 24603073 26839716 33549645 40259574 44732860 49206146 67099290 73809219 80519148 98412292 100648935 123015365 134198580 147618438 201297870 221427657 246030730 295236876 369046095 402595740 442855314 492061460 738092190 885710628 1107138285 1476184380 2214276570 4428553140