Search a number
-
+
45244640 = 2557229199
BaseRepresentation
bin1010110010011…
…0000011100000
310011010122222102
42230212003200
543040312030
64253425532
71056400400
oct254460340
9104118872
1045244640
11235a2a71
121319b2a8
1394b1a9c
14601a800
153e8ac45
hex2b260e0

45244640 has 144 divisors (see below), whose sum is σ = 129276000. Its totient is φ = 14902272.

The previous prime is 45244637. The next prime is 45244651. The reversal of 45244640 is 4644254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227261 + ... + 227459.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 245244640 is an apocalyptic number.

45244640 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 45244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64638000).

45244640 is an abundant number, since it is smaller than the sum of its proper divisors (84031360).

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

45244640 is a wasteful number, since it uses less digits than its factorization.

45244640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 45244640 is about 6726.4136060757. The cubic root of 45244640 is about 356.3327276841.

Adding to 45244640 its reverse (4644254), we get a palindrome (49888894).

The spelling of 45244640 in words is "forty-five million, two hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 49 56 58 70 80 98 112 116 140 145 160 196 199 203 224 232 245 280 290 392 398 406 464 490 560 580 784 796 812 928 980 995 1015 1120 1160 1393 1421 1568 1592 1624 1960 1990 2030 2320 2786 2842 3184 3248 3920 3980 4060 4640 5572 5684 5771 6368 6496 6965 7105 7840 7960 8120 9751 11144 11368 11542 13930 14210 15920 16240 19502 22288 22736 23084 27860 28420 28855 31840 32480 39004 40397 44576 45472 46168 48755 55720 56840 57710 78008 80794 92336 97510 111440 113680 115420 156016 161588 184672 195020 201985 222880 227360 230840 282779 312032 323176 390040 403970 461680 565558 646352 780080 807940 923360 1131116 1292704 1413895 1560160 1615880 2262232 2827790 3231760 4524464 5655580 6463520 9048928 11311160 22622320 45244640