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1445328072 = 2332127263601
BaseRepresentation
bin101011000100101…
…1111010011001000
310201201122021101100
41112021133103020
510430000444242
6355230221400
750550041316
oct12611372310
93651567340
101445328072
11681939411
12344054860
131a058c516
14d9d510b6
1586d4a54c
hex5625f4c8

1445328072 has 96 divisors (see below), whose sum is σ = 3966842880. Its totient is φ = 475372800.

The previous prime is 1445328047. The next prime is 1445328089. The reversal of 1445328072 is 2708235441.

It is a happy number.

1445328072 is a `hidden beast` number, since 1 + 44 + 532 + 80 + 7 + 2 = 666.

It is a super-2 number, since 2×14453280722 = 4177946471422474368, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2404572 + ... + 2405172.

It is an arithmetic number, because the mean of its divisors is an integer number (41321280).

Almost surely, 21445328072 is an apocalyptic number.

1445328072 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 1445328072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983421440).

1445328072 is an abundant number, since it is smaller than the sum of its proper divisors (2521514808).

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

1445328072 is a wasteful number, since it uses less digits than its factorization.

1445328072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1445328072 is about 38017.4706154947. The cubic root of 1445328072 is about 1130.6342725721.

The spelling of 1445328072 in words is "one billion, four hundred forty-five million, three hundred twenty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 263 381 508 526 601 762 789 1016 1052 1143 1202 1524 1578 1803 2104 2286 2367 2404 3048 3156 3606 4572 4734 4808 5409 6312 7212 9144 9468 10818 14424 18936 21636 33401 43272 66802 76327 100203 133604 152654 158063 200406 228981 267208 300609 305308 316126 400812 457962 474189 601218 610616 632252 686943 801624 915924 948378 1202436 1264504 1373886 1422567 1831848 1896756 2404872 2747772 2845134 3793512 5495544 5690268 11380536 20074001 40148002 60222003 80296004 120444006 160592008 180666009 240888012 361332018 481776024 722664036 1445328072