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145184352 = 2531725233
BaseRepresentation
bin10001010011101…
…01011001100000
3101010012010111020
420221311121200
5244131344402
622223445440
73412021665
oct1051653140
9333163436
10145184352
1174a53175
1240756880
1324104001
14153d3a6c
15cb2c8bc
hex8a75660

145184352 has 72 divisors (see below), whose sum is σ = 404923176. Its totient is φ = 45539328.

The previous prime is 145184327. The next prime is 145184359. The reversal of 145184352 is 253481541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145184359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25128 + ... + 30360.

It is an arithmetic number, because the mean of its divisors is an integer number (5623933).

Almost surely, 2145184352 is an apocalyptic number.

145184352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145184352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202461588).

145184352 is an abundant number, since it is smaller than the sum of its proper divisors (259738824).

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

145184352 is a wasteful number, since it uses less digits than its factorization.

145184352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5255 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 145184352 is about 12049.2469474237. The cubic root of 145184352 is about 525.5813388054.

The spelling of 145184352 in words is "one hundred forty-five million, one hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 4624 5233 6936 9248 10466 13872 15699 20932 27744 31398 41864 62796 83728 88961 125592 167456 177922 251184 266883 355844 502368 533766 711688 1067532 1423376 1512337 2135064 2846752 3024674 4270128 4537011 6049348 8540256 9074022 12098696 18148044 24197392 36296088 48394784 72592176 145184352