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145145504 = 2575771123
BaseRepresentation
bin10001010011010…
…11111010100000
3101010010011012102
420221223322200
5244124124004
622222545532
73411500510
oct1051537240
9333104172
10145145504
1174a26a69
12407382a8
13240bc41a
14153c3840
15cb2111e
hex8a6bea0

145145504 has 48 divisors (see below), whose sum is σ = 327434688. Its totient is φ = 62042112.

The previous prime is 145145491. The next prime is 145145509. The reversal of 145145504 is 405541541.

It is not an unprimeable number, because it can be changed into a prime (145145509) 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 7 ways as a sum of consecutive naturals, for example, 128687 + ... + 129809.

It is an arithmetic number, because the mean of its divisors is an integer number (6821556).

Almost surely, 2145145504 is an apocalyptic number.

145145504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145145504 is an abundant number, since it is smaller than the sum of its proper divisors (182289184).

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

145145504 is a wasteful number, since it uses less digits than its factorization.

145145504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 145145504 is about 12047.6347886214. The cubic root of 145145504 is about 525.5344567896.

The spelling of 145145504 in words is "one hundred forty-five million, one hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 577 1123 1154 2246 2308 4039 4492 4616 7861 8078 8984 9232 15722 16156 17968 18464 31444 32312 35936 62888 64624 125776 129248 251552 647971 1295942 2591884 4535797 5183768 9071594 10367536 18143188 20735072 36286376 72572752 145145504