Search a number
-
+
445040154 = 2321319313229
BaseRepresentation
bin11010100001101…
…100011000011010
31011000102101022200
4122201230120122
51402412241104
6112054431030
714012531106
oct3241543032
91130371280
10445040154
11209239289
12105062476
1371281290
144316a906
152910db39
hex1a86c61a

445040154 has 96 divisors (see below), whose sum is σ = 1128691200. Its totient is φ = 125504640.

The previous prime is 445040147. The next prime is 445040221. The reversal of 445040154 is 451040544.

445040154 is a `hidden beast` number, since 4 + 4 + 504 + 0 + 154 = 666.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 136212 + ... + 139440.

It is an arithmetic number, because the mean of its divisors is an integer number (11757200).

Almost surely, 2445040154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445040154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564345600).

445040154 is an abundant number, since it is smaller than the sum of its proper divisors (683651046).

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

445040154 is a wasteful number, since it uses less digits than its factorization.

445040154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3297 counting only the distinct ones).

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

The square root of 445040154 is about 21095.9748293365. The cubic root of 445040154 is about 763.4836347543.

Adding to 445040154 its reverse (451040544), we get a palindrome (896080698).

The spelling of 445040154 in words is "four hundred forty-five million, forty thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 19 26 31 38 39 57 62 78 93 114 117 171 186 234 247 279 342 403 494 558 589 741 806 1178 1209 1482 1767 2223 2418 3229 3534 3627 4446 5301 6458 7254 7657 9687 10602 15314 19374 22971 29061 41977 45942 58122 61351 68913 83954 100099 122702 125931 137826 184053 200198 251862 300297 368106 377793 552159 600594 755586 797563 900891 1104318 1301287 1595126 1801782 1901881 2392689 2602574 3803762 3903861 4785378 5705643 7178067 7807722 11411286 11711583 14356134 17116929 23423166 24724453 34233858 49448906 74173359 148346718 222520077 445040154