Search a number
-
+
145541484 = 223211467787
BaseRepresentation
bin10001010110011…
…00100101101100
3101010212021101100
420223030211230
5244224311414
622235243100
73415040124
oct1053144554
9333767340
10145541484
1175177520
12408a9490
13241ca72a
1415487c84
15cb9d609
hex8acc96c

145541484 has 72 divisors (see below), whose sum is σ = 402712128. Its totient is φ = 43953120.

The previous prime is 145541477. The next prime is 145541489. The reversal of 145541484 is 484145541.

145541484 is a `hidden beast` number, since 14 + 554 + 14 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145541489) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 184539 + ... + 185325.

It is an arithmetic number, because the mean of its divisors is an integer number (5593224).

Almost surely, 2145541484 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 145541484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201356064).

145541484 is an abundant number, since it is smaller than the sum of its proper divisors (257170644).

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

145541484 is a wasteful number, since it uses less digits than its factorization.

145541484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1270 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 145541484 is about 12064.0575263880. The cubic root of 145541484 is about 526.0119366758.

The spelling of 145541484 in words is "one hundred forty-five million, five hundred forty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 467 787 934 1401 1574 1868 2361 2802 3148 4203 4722 5137 5604 7083 8406 8657 9444 10274 14166 15411 16812 17314 20548 25971 28332 30822 34628 46233 51942 61644 77913 92466 103884 155826 184932 311652 367529 735058 1102587 1470116 2205174 3307761 4042819 4410348 6615522 8085638 12128457 13231044 16171276 24256914 36385371 48513828 72770742 145541484