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45147240 = 23335172459
BaseRepresentation
bin1010110000111…
…0010001101000
310010221201101000
42230032101220
543024202430
64251355000
71055513415
oct254162150
9103851330
1045147240
1123536876
1213152a60
139479658
145dd310c
153e6be60
hex2b0e468

45147240 has 128 divisors (see below), whose sum is σ = 159408000. Its totient is φ = 11326464.

The previous prime is 45147233. The next prime is 45147241. The reversal of 45147240 is 4274154.

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

It is not an unprimeable number, because it can be changed into a prime (45147241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17131 + ... + 19589.

It is an arithmetic number, because the mean of its divisors is an integer number (1245375).

Almost surely, 245147240 is an apocalyptic number.

45147240 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 45147240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79704000).

45147240 is an abundant number, since it is smaller than the sum of its proper divisors (114260760).

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

45147240 is a wasteful number, since it uses less digits than its factorization.

45147240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 45147240 is about 6719.1695915492. The cubic root of 45147240 is about 356.0768466013.

The spelling of 45147240 in words is "forty-five million, one hundred forty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 2459 3060 3672 4590 4918 6120 7377 9180 9836 12295 14754 18360 19672 22131 24590 29508 36885 41803 44262 49180 59016 66393 73770 83606 88524 98360 110655 125409 132786 147540 167212 177048 209015 221310 250818 265572 295080 331965 334424 376227 418030 442620 501636 531144 627045 663930 752454 836060 885240 1003272 1128681 1254090 1327860 1504908 1672120 1881135 2257362 2508180 2655720 3009816 3762270 4514724 5016360 5643405 7524540 9029448 11286810 15049080 22573620 45147240