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52407000 = 233453647
BaseRepresentation
bin1100011111101…
…0101011011000
310122121112220000
43013322223120
5101404011000
65111133000
71204311042
oct307725330
9118545800
1052407000
1127645178
1215674160
13ab1bb79
146d62a92
154903000
hex31faad8

52407000 has 160 divisors (see below), whose sum is σ = 183474720. Its totient is φ = 13953600.

The previous prime is 52406999. The next prime is 52407001. The reversal of 52407000 is 70425.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52406999) and next prime (52407001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52407001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80677 + ... + 81323.

It is an arithmetic number, because the mean of its divisors is an integer number (1146717).

Almost surely, 252407000 is an apocalyptic number.

52407000 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 52407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91737360).

52407000 is an abundant number, since it is smaller than the sum of its proper divisors (131067720).

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

52407000 is a wasteful number, since it uses less digits than its factorization.

52407000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 52407000 is about 7239.2679187885. The cubic root of 52407000 is about 374.2223886361. Note that the first 3 decimals are identical.

Adding to 52407000 its reverse (70425), we get a palindrome (52477425).

The spelling of 52407000 in words is "fifty-two million, four hundred seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 647 648 675 750 810 900 1000 1080 1125 1294 1350 1500 1620 1800 1941 2025 2250 2588 2700 3000 3235 3240 3375 3882 4050 4500 5176 5400 5823 6470 6750 7764 8100 9000 9705 10125 11646 12940 13500 15528 16175 16200 17469 19410 20250 23292 25880 27000 29115 32350 34938 38820 40500 46584 48525 52407 58230 64700 69876 77640 80875 81000 87345 97050 104814 116460 129400 139752 145575 161750 174690 194100 209628 232920 242625 262035 291150 323500 349380 388200 419256 436725 485250 524070 582300 647000 698760 727875 873450 970500 1048140 1164600 1310175 1455750 1746900 1941000 2096280 2183625 2620350 2911500 3493800 4367250 5240700 5823000 6550875 8734500 10481400 13101750 17469000 26203500 52407000