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1442405800 = 2352111738567
BaseRepresentation
bin101010111111001…
…0101110110101000
310201112010210210001
41111332111312220
510423223441200
6355043432344
750513150503
oct12576256650
93645123701
101442405800
11680222910
123430856b4
1319caa8374
14d97d013a
158696e76a
hex55f95da8

1442405800 has 96 divisors (see below), whose sum is σ = 3873769920. Its totient is φ = 493644800.

The previous prime is 1442405773. The next prime is 1442405813. The reversal of 1442405800 is 85042441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18117 + ... + 56683.

It is an arithmetic number, because the mean of its divisors is an integer number (40351770).

Almost surely, 21442405800 is an apocalyptic number.

1442405800 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 1442405800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936884960).

1442405800 is an abundant number, since it is smaller than the sum of its proper divisors (2431364120).

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

1442405800 is a wasteful number, since it uses less digits than its factorization.

1442405800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38611 (or 38602 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 1442405800 is about 37979.0178914621. The cubic root of 1442405800 is about 1129.8717582297.

The spelling of 1442405800 in words is "one billion, four hundred forty-two million, four hundred five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 37400 38567 77134 154268 192835 308536 385670 424237 655639 771340 848474 964175 1311278 1542680 1696948 1928350 2121185 2622556 3278195 3393896 3856700 4242370 5245112 6556390 7212029 7713400 8484740 10605925 13112780 14424058 16390975 16969480 21211850 26225560 28848116 32781950 36060145 42423700 57696232 65563900 72120290 84847400 131127800 144240580 180300725 288481160 360601450 721202900 1442405800