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45124240 = 2457194241
BaseRepresentation
bin1010110000100…
…0101010010000
310010220112211011
42230020222100
543022433430
64251100304
71055356360
oct254105220
9103815734
1045124240
1123520567
1213141694
13946c045
145dc89a0
153e6522a
hex2b08a90

45124240 has 80 divisors (see below), whose sum is σ = 126241920. Its totient is φ = 14653440.

The previous prime is 45124223. The next prime is 45124279. The reversal of 45124240 is 4242154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8520 + ... + 12760.

It is an arithmetic number, because the mean of its divisors is an integer number (1578024).

Almost surely, 245124240 is an apocalyptic number.

45124240 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 45124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63120960).

45124240 is an abundant number, since it is smaller than the sum of its proper divisors (81117680).

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

45124240 is a wasteful number, since it uses less digits than its factorization.

45124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 45124240 is about 6717.4578524915. The cubic root of 45124240 is about 356.0163692343.

Adding to 45124240 its reverse (4242154), we get a palindrome (49366394).

The spelling of 45124240 in words is "forty-five million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 4241 5320 8482 10640 16964 21205 29687 33928 42410 59374 67856 80579 84820 118748 148435 161158 169640 237496 296870 322316 339280 402895 474992 564053 593740 644632 805790 1128106 1187480 1289264 1611580 2256212 2374960 2820265 3223160 4512424 5640530 6446320 9024848 11281060 22562120 45124240