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45750000 = 2435661
BaseRepresentation
bin1010111010000…
…1011011110000
310012002100012110
42232201123300
543203000000
64312325320
71063603632
oct256413360
9105070173
1045750000
112390871a
12133a3840
13962ab0a
14610ca52
15403a850
hex2ba16f0

45750000 has 140 divisors (see below), whose sum is σ = 150154328. Its totient is φ = 12000000.

The previous prime is 45749983. The next prime is 45750007. The reversal of 45750000 is 5754.

45750000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45750007) 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, 749970 + ... + 750030.

Almost surely, 245750000 is an apocalyptic number.

45750000 is a gapful number since it is divisible by the number (40) 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 45750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75077164).

45750000 is an abundant number, since it is smaller than the sum of its proper divisors (104404328).

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

45750000 is an frugal number, since it uses more digits than its factorization.

45750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 45750000 is about 6763.8746292343. The cubic root of 45750000 is about 357.6545047520.

Adding to 45750000 its reverse (5754), we get a palindrome (45755754).

The spelling of 45750000 in words is "forty-five million, seven hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 61 75 80 100 120 122 125 150 183 200 240 244 250 300 305 366 375 400 488 500 600 610 625 732 750 915 976 1000 1200 1220 1250 1464 1500 1525 1830 1875 2000 2440 2500 2928 3000 3050 3125 3660 3750 4575 4880 5000 6000 6100 6250 7320 7500 7625 9150 9375 10000 12200 12500 14640 15000 15250 15625 18300 18750 22875 24400 25000 30000 30500 31250 36600 37500 38125 45750 46875 50000 61000 62500 73200 75000 76250 91500 93750 114375 122000 125000 150000 152500 183000 187500 190625 228750 250000 305000 366000 375000 381250 457500 571875 610000 750000 762500 915000 953125 1143750 1525000 1830000 1906250 2287500 2859375 3050000 3812500 4575000 5718750 7625000 9150000 11437500 15250000 22875000 45750000