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145652031 = 32723100519
BaseRepresentation
bin10001010111001…
…11100100111111
3101011001220000200
420223213210333
5244241331111
622241454543
73416010330
oct1053474477
9334056020
10145652031
1175242588
1240941453
1324238b45
14154b6287
15cbc1256
hex8ae793f

145652031 has 24 divisors (see below), whose sum is σ = 250897920. Its totient is φ = 79610256.

The previous prime is 145651963. The next prime is 145652047. The reversal of 145652031 is 130256541.

145652031 is a `hidden beast` number, since 1 + 4 + 5 + 652 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 145652031 - 210 = 145651007 is a prime.

It is a super-2 number, since 2×1456520312 = 42429028268849922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145651986 and 145652004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145652431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48811 + ... + 51708.

It is an arithmetic number, because the mean of its divisors is an integer number (10454080).

Almost surely, 2145652031 is an apocalyptic number.

145652031 is a deficient number, since it is larger than the sum of its proper divisors (105245889).

145652031 is a wasteful number, since it uses less digits than its factorization.

145652031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100555 (or 100552 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 145652031 is about 12068.6383241855. The cubic root of 145652031 is about 526.1450815902.

The spelling of 145652031 in words is "one hundred forty-five million, six hundred fifty-two thousand, thirty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 100519 301557 703633 904671 2110899 2311937 6332697 6935811 16183559 20807433 48550677 145652031