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145806948 = 22327282657
BaseRepresentation
bin10001011000011…
…01011001100100
3101011100202112100
420230031121210
5244311310243
622245052100
73420224100
oct1054153144
9334322470
10145806948
1175338a11
12409b7030
1324291501
1415516900
15cc020d3
hex8b0d664

145806948 has 54 divisors (see below), whose sum is σ = 428747046. Its totient is φ = 41658624.

The previous prime is 145806929. The next prime is 145806979. The reversal of 145806948 is 849608541.

145806948 is a `hidden beast` number, since 1 + 4 + 580 + 69 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129549924 + 16257024 = 11382^2 + 4032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39565 + ... + 43092.

Almost surely, 2145806948 is an apocalyptic number.

145806948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145806948 is an abundant number, since it is smaller than the sum of its proper divisors (282940098).

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

145806948 is a wasteful number, since it uses less digits than its factorization.

145806948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82681 (or 82669 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 145806948 is about 12075.0547824844. The cubic root of 145806948 is about 526.3315532703.

It can be divided in two parts, 14580 and 6948, that added together give a triangular number (21528 = T207).

The spelling of 145806948 in words is "one hundred forty-five million, eight hundred six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 82657 165314 247971 330628 495942 578599 743913 991884 1157198 1487826 1735797 2314396 2975652 3471594 4050193 5207391 6943188 8100386 10414782 12150579 16200772 20829564 24301158 36451737 48602316 72903474 145806948