Search a number
-
+
4498261380 = 2232585329297
BaseRepresentation
bin1000011000001111…
…00000010110000100
3102121111021100120100
410030013200112010
533203023331010
62022205204100
7216320406444
oct41407402604
912544240510
104498261380
1119a9173398
12a56560630
13568c18332
143095b6124
151b4d982c0
hex10c1e0584

4498261380 has 72 divisors (see below), whose sum is σ = 13661188632. Its totient is φ = 1198089216.

The previous prime is 4498261373. The next prime is 4498261429. The reversal of 4498261380 is 831628944.

It is a happy number.

4498261380 is a `hidden beast` number, since 4 + 4 + 9 + 8 + 261 + 380 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104162436 + 4394098944 = 10206^2 + 66288^2 .

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138892 + ... + 168188.

It is an arithmetic number, because the mean of its divisors is an integer number (189738731).

Almost surely, 24498261380 is an apocalyptic number.

It is an amenable number.

4498261380 is an abundant number, since it is smaller than the sum of its proper divisors (9162927252).

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

4498261380 is a wasteful number, since it uses less digits than its factorization.

4498261380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30165 (or 30160 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4498261380 is about 67069.0791646941. The cubic root of 4498261380 is about 1650.7509749566.

It can be divided in two parts, 4498261 and 380, that added together give a square (4498641 = 21212).

The spelling of 4498261380 in words is "four billion, four hundred ninety-eight million, two hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 853 1706 2559 3412 4265 5118 7677 8530 10236 12795 15354 17060 25590 29297 30708 38385 51180 58594 76770 87891 117188 146485 153540 175782 263673 292970 351564 439455 527346 585940 878910 1054692 1318365 1757820 2636730 5273460 24990341 49980682 74971023 99961364 124951705 149942046 224913069 249903410 299884092 374855115 449826138 499806820 749710230 899652276 1124565345 1499420460 2249130690 4498261380