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35250000 = 2435647
BaseRepresentation
bin1000011001110…
…1111101010000
32110022212220120
42012131331100
533011000000
63255310240
7605422452
oct206357520
973285816
1035250000
1118996935
12b97b380
1373c27b6
1449782d2
1531646a0
hex219df50

35250000 has 140 divisors (see below), whose sum is σ = 116248512. Its totient is φ = 9200000.

The previous prime is 35249989. The next prime is 35250001. The reversal of 35250000 is 5253.

35250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35250001) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 749977 + ... + 750023.

Almost surely, 235250000 is an apocalyptic number.

35250000 is a gapful number since it is divisible by the number (30) 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 35250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58124256).

35250000 is an abundant number, since it is smaller than the sum of its proper divisors (80998512).

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

35250000 is an frugal number, since it uses more digits than its factorization.

35250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 35250000 is about 5937.1710435190. The cubic root of 35250000 is about 327.8836093085.

Adding to 35250000 its reverse (5253), we get a palindrome (35255253).

The spelling of 35250000 in words is "thirty-five million, two hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 125 141 150 188 200 235 240 250 282 300 375 376 400 470 500 564 600 625 705 750 752 940 1000 1128 1175 1200 1250 1410 1500 1875 1880 2000 2256 2350 2500 2820 3000 3125 3525 3750 3760 4700 5000 5640 5875 6000 6250 7050 7500 9375 9400 10000 11280 11750 12500 14100 15000 15625 17625 18750 18800 23500 25000 28200 29375 30000 31250 35250 37500 46875 47000 50000 56400 58750 62500 70500 75000 88125 93750 94000 117500 125000 141000 146875 150000 176250 187500 235000 250000 282000 293750 352500 375000 440625 470000 587500 705000 734375 750000 881250 1175000 1410000 1468750 1762500 2203125 2350000 2937500 3525000 4406250 5875000 7050000 8812500 11750000 17625000 35250000