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145064628 = 22334331237
BaseRepresentation
bin10001010010110…
…00001010110100
3101002222001021000
420221120022310
5244114032003
622221123300
73411012642
oct1051301264
9332861230
10145064628
1174981225
12406b9530
1324091677
14153a2192
15cb071a3
hex8a582b4

145064628 has 48 divisors (see below), whose sum is σ = 384852160. Its totient is φ = 47228832.

The previous prime is 145064627. The next prime is 145064653. The reversal of 145064628 is 826460541.

145064628 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 646 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 = 145064592 and 145064601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145064627) by changing a digit.

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, 10975 + ... + 20262.

Almost surely, 2145064628 is an apocalyptic number.

145064628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145064628 is an abundant number, since it is smaller than the sum of its proper divisors (239787532).

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

145064628 is a wasteful number, since it uses less digits than its factorization.

145064628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31293 (or 31285 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 145064628 is about 12044.2778114755. The cubic root of 145064628 is about 525.4368282713.

The spelling of 145064628 in words is "one hundred forty-five million, sixty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 31237 62474 93711 124948 187422 281133 374844 562266 843399 1124532 1343191 1686798 2686382 3373596 4029573 5372764 8059146 12088719 16118292 24177438 36266157 48354876 72532314 145064628