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145893852 = 223313103913
BaseRepresentation
bin10001011001000…
…10100111011100
3101011112011202000
420230202213130
5244322100402
622251002300
73421035336
oct1054424734
9334464660
10145893852
1175398235
1240a39390
13242c1c30
141553a456
15cc1cc1c
hex8b229dc

145893852 has 48 divisors (see below), whose sum is σ = 407342880. Its totient is φ = 44889984.

The previous prime is 145893851. The next prime is 145893857. The reversal of 145893852 is 258398541.

145893852 is a `hidden beast` number, since 14 + 589 + 3 + 8 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145893798 and 145893807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145893851) 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 15 ways as a sum of consecutive naturals, for example, 50553 + ... + 53360.

It is an arithmetic number, because the mean of its divisors is an integer number (8486310).

Almost surely, 2145893852 is an apocalyptic number.

145893852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145893852 is an abundant number, since it is smaller than the sum of its proper divisors (261449028).

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

145893852 is a wasteful number, since it uses less digits than its factorization.

145893852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103939 (or 103931 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 145893852 is about 12078.6527394408. The cubic root of 145893852 is about 526.4361007182.

The spelling of 145893852 in words is "one hundred forty-five million, eight hundred ninety-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 103913 207826 311739 415652 623478 935217 1246956 1350869 1870434 2701738 2805651 3740868 4052607 5403476 5611302 8105214 11222604 12157821 16210428 24315642 36473463 48631284 72946926 145893852