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145624325 = 527211101107
BaseRepresentation
bin10001010111000…
…00110100000101
3101011000111000112
420223200310011
5244234434300
622241122405
73415533500
oct1053406405
9334014015
10145624325
1175223790
1240929405
1324229352
14154aa137
15cbb7e35
hex8ae0d05

145624325 has 72 divisors (see below), whose sum is σ = 233583264. Its totient is φ = 89040000.

The previous prime is 145624319. The next prime is 145624351. The reversal of 145624325 is 523426541.

It is not a de Polignac number, because 145624325 - 28 = 145624069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145624291 and 145624300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360922 + ... + 1361028.

It is an arithmetic number, because the mean of its divisors is an integer number (3244212).

Almost surely, 2145624325 is an apocalyptic number.

It is an amenable number.

145624325 is a deficient number, since it is larger than the sum of its proper divisors (87958939).

145624325 is a wasteful number, since it uses less digits than its factorization.

145624325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 145624325 is about 12067.4904184756. The cubic root of 145624325 is about 526.1117182838. Note that the first 3 decimals are identical.

The spelling of 145624325 in words is "one hundred forty-five million, six hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 101 107 175 245 275 385 505 535 539 707 749 1111 1177 1225 1925 2525 2675 2695 3535 3745 4949 5243 5555 5885 7777 8239 10807 13475 17675 18725 24745 26215 27775 29425 38885 41195 54035 54439 57673 75649 118877 123725 131075 194425 205975 270175 272195 288365 378245 529543 594385 832139 1360975 1441825 1891225 2647715 2971925 4160695 5824973 13238575 20803475 29124865 145624325