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4542487620 = 22351123131999
BaseRepresentation
bin1000011101100000…
…01101110001000100
3102201120111021120020
410032300031301010
533300334100440
62030425135140
7220365336066
oct41660156104
912646437506
104542487620
111a21130200
12a6932a4b0
135751316c8
14311409736
151b8bd23d0
hex10ec0dc44

4542487620 has 144 divisors (see below), whose sum is σ = 14032032000. Its totient is φ = 1097141760.

The previous prime is 4542487553. The next prime is 4542487627. The reversal of 4542487620 is 267842454.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4542487627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2271381 + ... + 2273379.

Almost surely, 24542487620 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 4542487620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016016000).

4542487620 is an abundant number, since it is smaller than the sum of its proper divisors (9489544380).

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

4542487620 is a wasteful number, since it uses less digits than its factorization.

4542487620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 4542487620 is about 67397.9793465650. The cubic root of 4542487620 is about 1656.1433208707.

The spelling of 4542487620 in words is "four billion, five hundred forty-two million, four hundred eighty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 313 330 363 484 605 626 660 726 939 1210 1252 1452 1565 1815 1878 1999 2420 3130 3443 3630 3756 3998 4695 5997 6260 6886 7260 7996 9390 9995 10329 11994 13772 17215 18780 19990 20658 21989 23988 29985 34430 37873 39980 41316 43978 51645 59970 65967 68860 75746 87956 103290 109945 113619 119940 131934 151492 189365 206580 219890 227238 241879 263868 329835 378730 439780 454476 483758 568095 625687 659670 725637 757460 967516 1136190 1209395 1251374 1319340 1451274 1877061 2272380 2418790 2502748 2902548 3128435 3628185 3754122 4837580 6256870 6882557 7256370 7508244 9385305 12513740 13765114 14512740 18770610 20647671 27530228 34412785 37541220 41295342 68825570 75708127 82590684 103238355 137651140 151416254 206476710 227124381 302832508 378540635 412953420 454248762 757081270 908497524 1135621905 1514162540 2271243810 4542487620