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145073808 = 24331130529
BaseRepresentation
bin10001010010110…
…10011010010000
3101002222111212000
420221122122100
5244114330213
622221234000
73411051465
oct1051323220
9332874760
10145073808
1174988110
1240702900
13240958b9
14153a566c
15cb09c73
hex8a5a690

145073808 has 80 divisors (see below), whose sum is σ = 454286400. Its totient is φ = 43960320.

The previous prime is 145073779. The next prime is 145073833. The reversal of 145073808 is 808370541.

145073808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 10513 + ... + 20016.

It is an arithmetic number, because the mean of its divisors is an integer number (5678580).

Almost surely, 2145073808 is an apocalyptic number.

145073808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145073808 is an abundant number, since it is smaller than the sum of its proper divisors (309212592).

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

145073808 is a wasteful number, since it uses less digits than its factorization.

145073808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30557 (or 30545 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145073808 is about 12044.6588992798. The cubic root of 145073808 is about 525.4479116264.

The spelling of 145073808 in words is "one hundred forty-five million, seventy-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 30529 61058 91587 122116 183174 244232 274761 335819 366348 488464 549522 671638 732696 824283 1007457 1099044 1343276 1465392 1648566 2014914 2198088 2686552 3022371 3297132 4029828 4396176 5373104 6044742 6594264 8059656 9067113 12089484 13188528 16119312 18134226 24178968 36268452 48357936 72536904 145073808