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145126944 = 2533167971
BaseRepresentation
bin10001010011001…
…11011000100000
3101010002012202000
420221213120200
5244123030234
622222324000
73411362424
oct1051473040
9333065660
10145126944
1174a14026
1240729600
13240b3b41
14153bab84
15cb1a899
hex8a67620

145126944 has 48 divisors (see below), whose sum is σ = 423289440. Its totient is φ = 48375360.

The previous prime is 145126939. The next prime is 145126963. The reversal of 145126944 is 449621541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 145126899 and 145126908.

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 7 ways as a sum of consecutive naturals, for example, 83122 + ... + 84849.

It is an arithmetic number, because the mean of its divisors is an integer number (8818530).

Almost surely, 2145126944 is an apocalyptic number.

It is an amenable number.

145126944 is an abundant number, since it is smaller than the sum of its proper divisors (278162496).

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

145126944 is a wasteful number, since it uses less digits than its factorization.

145126944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167990 (or 167976 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 145126944 is about 12046.8644883223. The cubic root of 145126944 is about 525.5120555095.

145126944 divided by its sum of digits (36) gives a palindrome (4031304).

It can be divided in two parts, 1451269 and 44, that multiplied together give a palindrome (63855836).

The spelling of 145126944 in words is "one hundred forty-five million, one hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 167971 335942 503913 671884 1007826 1343768 1511739 2015652 2687536 3023478 4031304 4535217 5375072 6046956 8062608 9070434 12093912 16125216 18140868 24187824 36281736 48375648 72563472 145126944