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1244425280 = 26573471601
BaseRepresentation
bin100101000101100…
…0110110001000000
310012201121100120012
41022023012301000
510022033102110
6323252204052
742560304020
oct11213066100
93181540505
101244425280
1158949a14a
122a8909628
1316aa7a327
14bb3b5a80
15743b3905
hex4a2c6c40

1244425280 has 112 divisors (see below), whose sum is σ = 3398495616. Its totient is φ = 425164800.

The previous prime is 1244425271. The next prime is 1244425291. The reversal of 1244425280 is 825244421.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 776480 + ... + 778080.

Almost surely, 21244425280 is an apocalyptic number.

1244425280 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 1244425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699247808).

1244425280 is an abundant number, since it is smaller than the sum of its proper divisors (2154070336).

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

1244425280 is a wasteful number, since it uses less digits than its factorization.

1244425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The square root of 1244425280 is about 35276.4125160142. The cubic root of 1244425280 is about 1075.6135758100.

The spelling of 1244425280 in words is "one billion, two hundred forty-four million, four hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 347 448 560 694 1120 1388 1601 1735 2240 2429 2776 3202 3470 4858 5552 6404 6940 8005 9716 11104 11207 12145 12808 13880 16010 19432 22208 22414 24290 25616 27760 32020 38864 44828 48580 51232 55520 56035 64040 77728 89656 97160 102464 111040 112070 128080 155456 179312 194320 224140 256160 358624 388640 448280 512320 555547 717248 777280 896560 1111094 1793120 2222188 2777735 3586240 3888829 4444376 5555470 7777658 8888752 11110940 15555316 17777504 19444145 22221880 31110632 35555008 38888290 44443760 62221264 77776580 88887520 124442528 155553160 177775040 248885056 311106320 622212640 1244425280