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5342424000 = 26353222601
BaseRepresentation
bin1001111100110111…
…01110101111000000
3111210022201020222120
410332123232233000
541420130032000
62242042404240
7246250566114
oct47633565700
914708636876
105342424000
1122a1728251
121051200680
13671a91644
14389759744
152140456a0
hex13e6eebc0

5342424000 has 112 divisors (see below), whose sum is σ = 17640763296. Its totient is φ = 1424640000.

The previous prime is 5342423963. The next prime is 5342424001. The reversal of 5342424000 is 4242435.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5342424001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87301 + ... + 135300.

Almost surely, 25342424000 is an apocalyptic number.

5342424000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5342424000 is an abundant number, since it is smaller than the sum of its proper divisors (12298339296).

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

5342424000 is a wasteful number, since it uses less digits than its factorization.

5342424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222631 (or 222611 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 5342424000 is about 73091.8873747285. The cubic root of 5342424000 is about 1748.1530446006.

Adding to 5342424000 its reverse (4242435), we get a palindrome (5346666435).

The spelling of 5342424000 in words is "five billion, three hundred forty-two million, four hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 222601 445202 667803 890404 1113005 1335606 1780808 2226010 2671212 3339015 3561616 4452020 5342424 5565025 6678030 7123232 8904040 10684848 11130050 13356060 14246464 16695075 17808080 21369696 22260100 26712120 27825125 33390150 35616160 42739392 44520200 53424240 55650250 66780300 71232320 83475375 89040400 106848480 111300500 133560600 166950750 178080800 213696960 222601000 267121200 333901500 356161600 445202000 534242400 667803000 890404000 1068484800 1335606000 1780808000 2671212000 5342424000