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45387750 = 235373829
BaseRepresentation
bin1010110100100…
…0111111100110
310011101221021210
42231020333212
543104402000
64300452250
71060534542
oct255107746
9104357253
1045387750
1123690541
121324a086
139531c75
146056a22
153eb8350
hex2b48fe6

45387750 has 64 divisors (see below), whose sum is σ = 114978240. Its totient is φ = 11923200.

The previous prime is 45387733. The next prime is 45387767. The reversal of 45387750 is 5778354.

It is an interprime number because it is at equal distance from previous prime (45387733) and next prime (45387767).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45387699 and 45387708.

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, 54336 + ... + 55164.

It is an arithmetic number, because the mean of its divisors is an integer number (1796535).

Almost surely, 245387750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45387750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57489120).

45387750 is an abundant number, since it is smaller than the sum of its proper divisors (69590490).

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

45387750 is a wasteful number, since it uses less digits than its factorization.

45387750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 45387750 is about 6737.0431199451. The cubic root of 45387750 is about 356.7080288984.

The spelling of 45387750 in words is "forty-five million, three hundred eighty-seven thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 73 75 125 146 150 219 250 365 375 438 730 750 829 1095 1658 1825 2190 2487 3650 4145 4974 5475 8290 9125 10950 12435 18250 20725 24870 27375 41450 54750 60517 62175 103625 121034 124350 181551 207250 302585 310875 363102 605170 621750 907755 1512925 1815510 3025850 4538775 7564625 9077550 15129250 22693875 45387750