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145537326 = 232117310069
BaseRepresentation
bin10001010110010…
…11100100101110
3101010212001200100
420223023210232
5244224143301
622235211530
73415022034
oct1053134456
9333761610
10145537326
1175174390
12408a6ba6
13241c887c
1415486554
15cb9c286
hex8acb92e

145537326 has 48 divisors (see below), whose sum is σ = 348744240. Its totient is φ = 43493760.

The previous prime is 145537313. The next prime is 145537349. The reversal of 145537326 is 623735541.

145537326 is a `hidden beast` number, since 14 + 553 + 73 + 26 = 666.

145537326 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1455373262 = 42362226518460552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9420 + ... + 19488.

It is an arithmetic number, because the mean of its divisors is an integer number (7265505).

Almost surely, 2145537326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145537326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174372120).

145537326 is an abundant number, since it is smaller than the sum of its proper divisors (203206914).

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

145537326 is a wasteful number, since it uses less digits than its factorization.

145537326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10161 (or 10158 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 145537326 is about 12063.8851950771. The cubic root of 145537326 is about 526.0069273859.

It can be divided in two parts, 1455 and 37326, that added together give a triangular number (38781 = T278).

The spelling of 145537326 in words is "one hundred forty-five million, five hundred thirty-seven thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1606 2409 4818 7227 10069 14454 20138 30207 60414 90621 110759 181242 221518 332277 664554 735037 996831 1470074 1993662 2205111 4410222 6615333 8085407 13230666 16170814 24256221 48512442 72768663 145537326