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45011240 = 23517371789
BaseRepresentation
bin1010101110110…
…1000100101000
310010200210210222
42223231010220
543010324430
64244425212
71054406051
oct253550450
9103623728
1045011240
112345367a
12130a8208
13942c791
145d99728
153e419e5
hex2aed128

45011240 has 64 divisors (see below), whose sum is σ = 110192400. Its totient is φ = 16478208.

The previous prime is 45011233. The next prime is 45011249. The reversal of 45011240 is 4211054.

It can be written as a sum of positive squares in 8 ways, for example, as 43112356 + 1898884 = 6566^2 + 1378^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (45011249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24266 + ... + 26054.

Almost surely, 245011240 is an apocalyptic number.

45011240 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 45011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55096200).

45011240 is an abundant number, since it is smaller than the sum of its proper divisors (65181160).

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

45011240 is a wasteful number, since it uses less digits than its factorization.

45011240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 45011240 is about 6709.0416603268. The cubic root of 45011240 is about 355.7189424139.

Adding to 45011240 its reverse (4211054), we get a palindrome (49222294).

The spelling of 45011240 in words is "forty-five million, eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 296 340 370 629 680 740 1258 1480 1789 2516 3145 3578 5032 6290 7156 8945 12580 14312 17890 25160 30413 35780 60826 66193 71560 121652 132386 152065 243304 264772 304130 330965 529544 608260 661930 1125281 1216520 1323860 2250562 2647720 4501124 5626405 9002248 11252810 22505620 45011240