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1445190672 = 243173794673
BaseRepresentation
bin101011000100011…
…1101110000010000
310201201101021220110
41112020331300100
510424432100142
6355223241320
750545626612
oct12610756020
93651337813
101445190672
11681855162
12343ba9240
131a0541b13
14d9d16db2
1586d1e99c
hex5623dc10

1445190672 has 80 divisors (see below), whose sum is σ = 3964299840. Its totient is φ = 452100096.

The previous prime is 1445190653. The next prime is 1445190679. The reversal of 1445190672 is 2760915441.

It is a super-3 number, since 3×14451906723 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1445190672.

It is not an unprimeable number, because it can be changed into a prime (1445190679) 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 15 ways as a sum of consecutive naturals, for example, 306928 + ... + 311600.

It is an arithmetic number, because the mean of its divisors is an integer number (49553748).

Almost surely, 21445190672 is an apocalyptic number.

1445190672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445190672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982149920).

1445190672 is an abundant number, since it is smaller than the sum of its proper divisors (2519109168).

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

1445190672 is a wasteful number, since it uses less digits than its factorization.

1445190672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1445190672 is about 38015.6635086118. The cubic root of 1445190672 is about 1130.5984435506.

The spelling of 1445190672 in words is "one billion, four hundred forty-five million, one hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 379 408 758 816 1137 1516 2274 3032 4548 4673 6064 6443 9096 9346 12886 14019 18192 18692 19329 25772 28038 37384 38658 51544 56076 74768 77316 79441 103088 112152 154632 158882 224304 238323 309264 317764 476646 635528 953292 1271056 1771067 1906584 3542134 3813168 5313201 7084268 10626402 14168536 21252804 28337072 30108139 42505608 60216278 85011216 90324417 120432556 180648834 240865112 361297668 481730224 722595336 1445190672