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1442864500 = 225371123407
BaseRepresentation
bin101011000000000…
…0101110101110100
310201120000002222221
41112000011311310
510423333131000
6355101332124
750520101020
oct12600056564
93646002887
101442864500
11680506500
12343267044
1319cc0909c
14d98ad380
1586a1061a
hex56005d74

1442864500 has 144 divisors (see below), whose sum is σ = 3959714304. Its totient is φ = 449592000.

The previous prime is 1442864483. The next prime is 1442864513. The reversal of 1442864500 is 54682441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421797 + ... + 425203.

It is an arithmetic number, because the mean of its divisors is an integer number (27498016).

Almost surely, 21442864500 is an apocalyptic number.

1442864500 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 1442864500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979857152).

1442864500 is an abundant number, since it is smaller than the sum of its proper divisors (2516849804).

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

1442864500 is a wasteful number, since it uses less digits than its factorization.

1442864500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 1442864500 is about 37985.0562721710. The cubic root of 1442864500 is about 1129.9915158472.

The spelling of 1442864500 in words is "one billion, four hundred forty-two million, eight hundred sixty-four thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 121 125 140 154 175 220 242 250 275 308 350 385 484 500 550 605 700 770 847 875 1100 1210 1375 1540 1694 1750 1925 2420 2750 3025 3388 3407 3500 3850 4235 5500 6050 6814 7700 8470 9625 12100 13628 15125 16940 17035 19250 21175 23849 30250 34070 37477 38500 42350 47698 60500 68140 74954 84700 85175 95396 105875 119245 149908 170350 187385 211750 238490 262339 340700 374770 412247 423500 425875 476980 524678 596225 749540 824494 851750 936925 1049356 1192450 1311695 1648988 1703500 1873850 2061235 2384900 2623390 2885729 2981125 3747700 4122470 4684625 5246780 5771458 5962250 6558475 8244940 9369250 10306175 11542916 11924500 13116950 14428645 18738500 20612350 26233900 28857290 32792375 41224700 51530875 57714580 65584750 72143225 103061750 131169500 144286450 206123500 288572900 360716125 721432250 1442864500