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45264450 = 23527113919
BaseRepresentation
bin1010110010101…
…0111001000010
310011011200011010
42230222321002
543041430300
64254101350
71056512220
oct254527102
9104150133
1045264450
1123606940
12131aa856
1394baaca
146023b10
153e91a50
hex2b2ae42

45264450 has 96 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 9403200.

The previous prime is 45264419. The next prime is 45264469. The reversal of 45264450 is 5446254.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9591 + ... + 13509.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 245264450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45264450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

45264450 is an abundant number, since it is smaller than the sum of its proper divisors (94726590).

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

45264450 is a wasteful number, since it uses less digits than its factorization.

45264450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 45264450 is about 6727.8859978451. The cubic root of 45264450 is about 356.3847258976.

The spelling of 45264450 in words is "forty-five million, two hundred sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 150 154 165 175 210 231 275 330 350 385 462 525 550 770 825 1050 1155 1650 1925 2310 3850 3919 5775 7838 11550 11757 19595 23514 27433 39190 43109 54866 58785 82299 86218 97975 117570 129327 137165 164598 195950 215545 258654 274330 293925 301763 411495 431090 587850 603526 646635 685825 822990 905289 1077725 1293270 1371650 1508815 1810578 2057475 2155450 3017630 3233175 4114950 4526445 6466350 7544075 9052890 15088150 22632225 45264450