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45313400 = 23521143479
BaseRepresentation
bin1010110011011…
…0110101111000
310011021011022002
42230312311320
543100012100
64255120132
71060105016
oct254666570
9104234262
1045313400
112363a6a0
1213213048
139507182
1460378b6
153ea12d5
hex2b36d78

45313400 has 96 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 16060800.

The previous prime is 45313397. The next prime is 45313403. The reversal of 45313400 is 431354.

It is an interprime number because it is at equal distance from previous prime (45313397) and next prime (45313403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45313403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94361 + ... + 94839.

It is an arithmetic number, because the mean of its divisors is an integer number (1227600).

Almost surely, 245313400 is an apocalyptic number.

45313400 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 45313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

45313400 is an abundant number, since it is smaller than the sum of its proper divisors (72536200).

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

45313400 is a wasteful number, since it uses less digits than its factorization.

45313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 45313400 is about 6731.5228589079. The cubic root of 45313400 is about 356.5131471173.

Adding to 45313400 its reverse (431354), we get a palindrome (45744754).

The spelling of 45313400 in words is "forty-five million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 172 200 215 220 275 344 430 440 473 479 550 860 946 958 1075 1100 1720 1892 1916 2150 2200 2365 2395 3784 3832 4300 4730 4790 5269 8600 9460 9580 10538 11825 11975 18920 19160 20597 21076 23650 23950 26345 41194 42152 47300 47900 52690 82388 94600 95800 102985 105380 131725 164776 205970 210760 226567 263450 411940 453134 514925 526900 823880 906268 1029850 1053800 1132835 1812536 2059700 2265670 4119400 4531340 5664175 9062680 11328350 22656700 45313400