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1442719800 = 233252978263
BaseRepresentation
bin101010111111110…
…0010100000111000
310201112201202111200
41111333202200320
510423314013200
6355054254200
750515626114
oct12577424070
93645652450
101442719800
11680417815
123431b7360
1319cb88272
14d9872744
15869d2800
hex55fe2838

1442719800 has 144 divisors (see below), whose sum is σ = 4895676240. Its totient is φ = 380712960.

The previous prime is 1442719763. The next prime is 1442719813. The reversal of 1442719800 is 89172441.

1442719800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170469 + ... + 178731.

Almost surely, 21442719800 is an apocalyptic number.

1442719800 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 1442719800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447838120).

1442719800 is an abundant number, since it is smaller than the sum of its proper divisors (3452956440).

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

1442719800 is a wasteful number, since it uses less digits than its factorization.

1442719800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8382 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1442719800 is about 37983.1515280130. The cubic root of 1442719800 is about 1129.9537402422.

The spelling of 1442719800 in words is "one billion, four hundred forty-two million, seven hundred nineteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 97 100 120 150 180 194 200 225 291 300 360 388 450 485 582 600 776 873 900 970 1164 1455 1746 1800 1940 2328 2425 2910 3492 3880 4365 4850 5820 6984 7275 8263 8730 9700 11640 14550 16526 17460 19400 21825 24789 29100 33052 34920 41315 43650 49578 58200 66104 74367 82630 87300 99156 123945 148734 165260 174600 198312 206575 247890 297468 330520 371835 413150 495780 594936 619725 743670 801511 826300 991560 1239450 1487340 1603022 1652600 1859175 2404533 2478900 2974680 3206044 3718350 4007555 4809066 4957800 6412088 7213599 7436700 8015110 9618132 12022665 14427198 14873400 16030220 19236264 20037775 24045330 28854396 32060440 36067995 40075550 48090660 57708792 60113325 72135990 80151100 96181320 120226650 144271980 160302200 180339975 240453300 288543960 360679950 480906600 721359900 1442719800