Search a number
-
+
445015242 = 23375397229
BaseRepresentation
bin11010100001100…
…110010011001010
31011000101010011000
4122201212103022
51402410441432
6112054115430
714012365350
oct3241462312
91130333130
10445015242
112092215a1
1210504bb76
1371272b39
14431617d0
152910657c
hex1a8664ca

445015242 has 128 divisors (see below), whose sum is σ = 1168473600. Its totient is φ = 122923008.

The previous prime is 445015231. The next prime is 445015279. The reversal of 445015242 is 242510544.

It is a super-2 number, since 2×4450152422 = 396077131224637128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1943184 + ... + 1943412.

It is an arithmetic number, because the mean of its divisors is an integer number (9128700).

Almost surely, 2445015242 is an apocalyptic number.

445015242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 445015242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584236800).

445015242 is an abundant number, since it is smaller than the sum of its proper divisors (723458358).

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

445015242 is a wasteful number, since it uses less digits than its factorization.

445015242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

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

The square root of 445015242 is about 21095.3843766830. The cubic root of 445015242 is about 763.4693886546.

Adding to 445015242 its reverse (242510544), we get a palindrome (687525786).

The spelling of 445015242 in words is "four hundred forty-five million, fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 97 106 126 159 189 194 229 291 318 371 378 458 477 582 679 687 742 873 954 1113 1358 1374 1431 1603 1746 2037 2061 2226 2619 2862 3206 3339 4074 4122 4809 5141 5238 6111 6183 6678 9618 10017 10282 12137 12222 12366 14427 15423 18333 20034 22213 24274 28854 30846 35987 36411 36666 43281 44426 46269 66639 71974 72822 84959 86562 92538 107961 109233 133278 138807 155491 169918 199917 215922 218466 254877 277614 310982 323883 327699 399834 466473 509754 599751 647766 655398 764631 932946 971649 1177289 1199502 1399419 1529262 1943298 2293893 2354578 2798838 3531867 4198257 4587786 7063734 8241023 8396514 10595601 16482046 21191202 24723069 31786803 49446138 63573606 74169207 148338414 222507621 445015242