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1445406432 = 25344933533
BaseRepresentation
bin101011000100111…
…0010011011100000
310201201210020212120
41112021302123200
510430011001212
6355232024240
750550515631
oct12611623340
93651706776
101445406432
11681992278
12344092080
131a05b90a2
14d9d71888
1586d6388c
hex562726e0

1445406432 has 48 divisors (see below), whose sum is σ = 3802755600. Its totient is φ = 480714752.

The previous prime is 1445406421. The next prime is 1445406433. The reversal of 1445406432 is 2346045441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1445406393 and 1445406402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445406433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26338 + ... + 59870.

It is an arithmetic number, because the mean of its divisors is an integer number (79224075).

Almost surely, 21445406432 is an apocalyptic number.

1445406432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1445406432 is an abundant number, since it is smaller than the sum of its proper divisors (2357349168).

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

1445406432 is a wasteful number, since it uses less digits than its factorization.

1445406432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33995 (or 33987 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 1445406432 is about 38018.5011803464. The cubic root of 1445406432 is about 1130.6547050498.

The spelling of 1445406432 in words is "one billion, four hundred forty-five million, four hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 449 898 1347 1796 2694 3592 5388 7184 10776 14368 21552 33533 43104 67066 100599 134132 201198 268264 402396 536528 804792 1073056 1609584 3219168 15056317 30112634 45168951 60225268 90337902 120450536 180675804 240901072 361351608 481802144 722703216 1445406432