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1445127424 = 2813479239
BaseRepresentation
bin101011000100010…
…1110010100000000
310201201021002010221
41112020232110000
510424423034144
6355222032424
750545244326
oct12610562400
93651232127
101445127424
11681811694
12343b78714
131a051c0b0
14d9cdbd16
1586d0ad84
hex5622e500

1445127424 has 72 divisors (see below), whose sum is σ = 3172942080. Its totient is φ = 652720128.

The previous prime is 1445127419. The next prime is 1445127457. The reversal of 1445127424 is 4247215441.

It is a self number, because there is not a number n which added to its sum of digits gives 1445127424.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 151797 + ... + 161035.

It is an arithmetic number, because the mean of its divisors is an integer number (44068640).

Almost surely, 21445127424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445127424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586471040).

1445127424 is an abundant number, since it is smaller than the sum of its proper divisors (1727814656).

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

1445127424 is an equidigital number, since it uses as much as digits as its factorization.

1445127424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9315 (or 9301 counting only the distinct ones).

The product of its digits is 35840, while the sum is 34.

The square root of 1445127424 is about 38014.8316318776. The cubic root of 1445127424 is about 1130.5819499637.

The spelling of 1445127424 in words is "one billion, four hundred forty-five million, one hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 256 376 416 611 752 832 1222 1504 1664 2444 3008 3328 4888 6016 9239 9776 12032 18478 19552 36956 39104 73912 78208 120107 147824 156416 240214 295648 434233 480428 591296 868466 960856 1182592 1736932 1921712 2365184 3473864 3843424 5645029 6947728 7686848 11290058 13895456 15373696 22580116 27790912 30747392 45160232 55581824 90320464 111163648 180640928 361281856 722563712 1445127424