Search a number
-
+
4552514540 = 2257229413907
BaseRepresentation
bin1000011110101100…
…11101101111101100
3102202021100200220122
410033112131233230
533310420431130
62031424104112
7220546510100
oct41726355754
912667320818
104552514540
111a26859612
12a70765038
135772325b2
14312899900
151b9a132e5
hex10f59dbec

4552514540 has 144 divisors (see below), whose sum is σ = 11788247520. Its totient is φ = 1469905920.

The previous prime is 4552514539. The next prime is 4552514573. The reversal of 4552514540 is 454152554.

It is a super-2 number, since 2×45525145402 = 41450777273822823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4552514540.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1163267 + ... + 1167173.

It is an arithmetic number, because the mean of its divisors is an integer number (81862830).

Almost surely, 24552514540 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 4552514540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894123760).

4552514540 is an abundant number, since it is smaller than the sum of its proper divisors (7235732980).

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

4552514540 is a wasteful number, since it uses less digits than its factorization.

4552514540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

The square root of 4552514540 is about 67472.3242522443. The cubic root of 4552514540 is about 1657.3609952989.

The spelling of 4552514540 in words is "four billion, five hundred fifty-two million, five hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 41 49 58 70 82 98 116 140 145 164 196 203 205 245 287 290 406 410 490 574 580 812 820 980 1015 1148 1189 1421 1435 2009 2030 2378 2842 2870 3907 4018 4060 4756 5684 5740 5945 7105 7814 8036 8323 10045 11890 14210 15628 16646 19535 20090 23780 27349 28420 33292 39070 40180 41615 54698 58261 78140 83230 109396 113303 116522 136745 160187 166460 191443 226606 233044 273490 291305 320374 382886 453212 546980 566515 582610 640748 765772 793121 800935 957215 1121309 1133030 1165220 1586242 1601870 1914430 2242618 2266060 3172484 3203740 3828860 3965605 4485236 4645423 5551847 5606545 7849163 7931210 9290846 11103694 11213090 15698326 15862420 18581692 22207388 22426180 23227115 27759235 31396652 32517961 39245815 46454230 55518470 65035922 78491630 92908460 111036940 130071844 156983260 162589805 227625727 325179610 455251454 650359220 910502908 1138128635 2276257270 4552514540