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4552140240 = 2432538916253
BaseRepresentation
bin1000011110101010…
…00010010111010000
3102202020122200110200
410033111002113100
533310321441430
62031412055200
7220543360614
oct41725022720
912666580420
104552140240
111a2662337a
12a70604500
1357713110b
143127dd344
151b998c460
hex10f5425d0

4552140240 has 120 divisors (see below), whose sum is σ = 15327847080. Its totient is φ = 1210708992.

The previous prime is 4552140239. The next prime is 4552140287. The reversal of 4552140240 is 420412554.

It can be written as a sum of positive squares in 4 ways, for example, as 349989264 + 4202150976 = 18708^2 + 64824^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271954 + ... + 288206.

It is an arithmetic number, because the mean of its divisors is an integer number (127732059).

Almost surely, 24552140240 is an apocalyptic number.

4552140240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4552140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663923540).

4552140240 is an abundant number, since it is smaller than the sum of its proper divisors (10775706840).

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

4552140240 is a wasteful number, since it uses less digits than its factorization.

4552140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16661 (or 16652 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4552140240 is about 67469.5504653766. The cubic root of 4552140240 is about 1657.3155722536.

Adding to 4552140240 its reverse (420412554), we get a palindrome (4972552794).

The spelling of 4552140240 in words is "four billion, five hundred fifty-two million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 389 720 778 1167 1556 1945 2334 3112 3501 3890 4668 5835 6224 7002 7780 9336 11670 14004 15560 16253 17505 18672 23340 28008 31120 32506 35010 46680 48759 56016 65012 70020 81265 93360 97518 130024 140040 146277 162530 195036 243795 260048 280080 292554 325060 390072 487590 585108 650120 731385 780144 975180 1170216 1300240 1462770 1950360 2340432 2925540 3900720 5851080 6322417 11702160 12644834 18967251 25289668 31612085 37934502 50579336 56901753 63224170 75869004 94836255 101158672 113803506 126448340 151738008 189672510 227607012 252896680 284508765 303476016 379345020 455214024 505793360 569017530 758690040 910428048 1138035060 1517380080 2276070120 4552140240