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45013248 = 283272791
BaseRepresentation
bin1010101110110…
…1100100000000
310010200220120100
42223231210000
543010410443
64244442400
71054414650
oct253554400
9103626510
1045013248
1123455135
12130a9400
139430677
145d9a360
153e423d3
hex2aed900

45013248 has 108 divisors (see below), whose sum is σ = 148378048. Its totient is φ = 12856320.

The previous prime is 45013183. The next prime is 45013253. The reversal of 45013248 is 84231054.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14733 + ... + 17523.

Almost surely, 245013248 is an apocalyptic number.

45013248 is a gapful number since it is divisible by the number (48) 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 45013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74189024).

45013248 is an abundant number, since it is smaller than the sum of its proper divisors (103364800).

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

45013248 is a wasteful number, since it uses less digits than its factorization.

45013248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45013248 is about 6709.1913074528. The cubic root of 45013248 is about 355.7242320039.

The spelling of 45013248 in words is "forty-five million, thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 2791 4032 5376 5582 8064 8373 11164 16128 16746 19537 22328 25119 33492 39074 44656 50238 58611 66984 78148 89312 100476 117222 133968 156296 175833 178624 200952 234444 267936 312592 351666 357248 401904 468888 535872 625184 703332 714496 803808 937776 1071744 1250368 1406664 1607616 1875552 2143488 2500736 2813328 3215232 3751104 5001472 5626656 6430464 7502208 11253312 15004416 22506624 45013248