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5442402000 = 243537129581
BaseRepresentation
bin1010001000110010…
…00111011011010000
3112001021211200000110
411010121013123100
542121223331000
62300013321320
7251603440140
oct50431073320
915037750013
105442402000
1123431041a2
12107a796240
136896c8119
14398b42920
1521cbe3850
hex1446476d0

5442402000 has 160 divisors (see below), whose sum is σ = 20053073664. Its totient is φ = 1243968000.

The previous prime is 5442401999. The next prime is 5442402011. The reversal of 5442402000 is 2042445.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22791 + ... + 106790.

Almost surely, 25442402000 is an apocalyptic number.

5442402000 is a gapful number since it is divisible by the number (50) 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 5442402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10026536832).

5442402000 is an abundant number, since it is smaller than the sum of its proper divisors (14610671664).

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

5442402000 is a wasteful number, since it uses less digits than its factorization.

5442402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129614 (or 129598 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 5442402000 is about 73772.6372037763. The cubic root of 5442402000 is about 1758.9906833447.

Adding to 5442402000 its reverse (2042445), we get a palindrome (5444444445).

The spelling of 5442402000 in words is "five billion, four hundred forty-two million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 129581 259162 388743 518324 647905 777486 907067 1036648 1295810 1554972 1814134 1943715 2073296 2591620 2721201 3109944 3239525 3628268 3887430 4535335 5183240 5442402 6219888 6479050 7256536 7774860 9070670 9718575 10366480 10884804 12958100 13606005 14513072 15549720 16197625 18141340 19437150 21769608 22676675 25916200 27212010 31099440 32395250 36282680 38874300 43539216 45353350 48592875 51832400 54424020 64790500 68030025 72565360 77748600 90706700 97185750 108848040 113383375 129581000 136060050 155497200 181413400 194371500 217696080 226766750 259162000 272120100 340150125 362826800 388743000 453533500 544240200 680300250 777486000 907067000 1088480400 1360600500 1814134000 2721201000 5442402000