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1445244640 = 25572575021
BaseRepresentation
bin101011000100100…
…1010111011100000
310201201111000221021
41112021022323200
510424440312030
6355224335224
750546243140
oct12611127340
93651430837
101445244640
11681891764
12344014514
131a0560558
14d9d2c920
1586d3097a
hex5624aee0

1445244640 has 96 divisors (see below), whose sum is σ = 3918124224. Its totient is φ = 493486080.

The previous prime is 1445244623. The next prime is 1445244649. The reversal of 1445244640 is 464425441.

It is a junction number, because it is equal to n+sod(n) for n = 1445244596 and 1445244605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445244649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285330 + ... + 290350.

It is an arithmetic number, because the mean of its divisors is an integer number (40813794).

Almost surely, 21445244640 is an apocalyptic number.

1445244640 is a gapful number since it is divisible by the number (10) 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 1445244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959062112).

1445244640 is an abundant number, since it is smaller than the sum of its proper divisors (2472879584).

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

1445244640 is a wasteful number, since it uses less digits than its factorization.

1445244640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5300 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The square root of 1445244640 is about 38016.3733146654. The cubic root of 1445244640 is about 1130.6125167518.

The spelling of 1445244640 in words is "one billion, four hundred forty-five million, two hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 257 280 514 560 1028 1120 1285 1799 2056 2570 3598 4112 5021 5140 7196 8224 8995 10042 10280 14392 17990 20084 20560 25105 28784 35147 35980 40168 41120 50210 57568 70294 71960 80336 100420 140588 143920 160672 175735 200840 281176 287840 351470 401680 562352 702940 803360 1124704 1290397 1405880 2580794 2811760 5161588 5623520 6451985 9032779 10323176 12903970 18065558 20646352 25807940 36131116 41292704 45163895 51615880 72262232 90327790 103231760 144524464 180655580 206463520 289048928 361311160 722622320 1445244640