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45050742 = 23611532
BaseRepresentation
bin1010101111011…
…0101101110110
310010202211000000
42223312231312
543013110432
64245332130
71054632162
oct253665566
9103684000
1045050742
1123480320
1213107046
139444759
145da9ca2
153e4d57c
hex2af6b76

45050742 has 84 divisors (see below), whose sum is σ = 112653324. Its totient is φ = 13394160.

The previous prime is 45050741. The next prime is 45050743. The reversal of 45050742 is 24705054.

It is an interprime number because it is at equal distance from previous prime (45050741) and next prime (45050743).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45050741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 849988 + ... + 850040.

It is an arithmetic number, because the mean of its divisors is an integer number (1341111).

Almost surely, 245050742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45050742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56326662).

45050742 is an abundant number, since it is smaller than the sum of its proper divisors (67602582).

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

45050742 is an equidigital number, since it uses as much as digits as its factorization.

45050742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 45050742 is about 6711.9849523073. The cubic root of 45050742 is about 355.8229719932.

Adding to 45050742 its reverse (24705054), we get a palindrome (69755796).

The spelling of 45050742 in words is "forty-five million, fifty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 81 99 106 159 162 198 243 297 318 477 486 583 594 729 891 954 1166 1431 1458 1749 1782 2673 2809 2862 3498 4293 5247 5346 5618 8019 8427 8586 10494 12879 15741 16038 16854 25281 25758 30899 31482 38637 47223 50562 61798 75843 77274 92697 94446 141669 151686 185394 227529 278091 283338 425007 455058 556182 682587 834273 850014 1365174 1668546 2047761 2502819 4095522 5005638 7508457 15016914 22525371 45050742