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45021440 = 285172069
BaseRepresentation
bin1010101110111…
…1100100000000
310010201022210202
42223233210000
543011141230
64244544332
71054450562
oct253574400
9103638722
1045021440
1123460302
12130b20a8
139434309
145d9d332
153e44a45
hex2aef900

45021440 has 72 divisors (see below), whose sum is σ = 114239160. Its totient is φ = 16941056.

The previous prime is 45021407. The next prime is 45021463. The reversal of 45021440 is 4412054.

It can be written as a sum of positive squares in 4 ways, for example, as 3444736 + 41576704 = 1856^2 + 6448^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20726 + ... + 22794.

It is an arithmetic number, because the mean of its divisors is an integer number (1586655).

Almost surely, 245021440 is an apocalyptic number.

45021440 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 45021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57119580).

45021440 is an abundant number, since it is smaller than the sum of its proper divisors (69217720).

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

45021440 is a wasteful number, since it uses less digits than its factorization.

45021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 45021440 is about 6709.8017854479. The cubic root of 45021440 is about 355.7458102153.

Adding to 45021440 its reverse (4412054), we get a palindrome (49433494).

The spelling of 45021440 in words is "forty-five million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2069 2176 2720 4138 4352 5440 8276 10345 10880 16552 20690 21760 33104 35173 41380 66208 70346 82760 132416 140692 165520 175865 264832 281384 331040 351730 529664 562768 662080 703460 1125536 1324160 1406920 2251072 2648320 2813840 4502144 5627680 9004288 11255360 22510720 45021440