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45414348 = 223729103181
BaseRepresentation
bin1010110100111…
…1011111001100
310011110021202220
42231033133030
543111224343
64301215340
71061005230
oct255173714
9104407686
1045414348
11236a9521
1213261550
1395410c5
1460625c0
153ec1183
hex2b4f7cc

45414348 has 96 divisors (see below), whose sum is σ = 127196160. Its totient is φ = 12337920.

The previous prime is 45414283. The next prime is 45414353. The reversal of 45414348 is 84341454.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250818 + ... + 250998.

It is an arithmetic number, because the mean of its divisors is an integer number (1324960).

Almost surely, 245414348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45414348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63598080).

45414348 is an abundant number, since it is smaller than the sum of its proper divisors (81781812).

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

45414348 is a wasteful number, since it uses less digits than its factorization.

45414348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 45414348 is about 6739.0168422404. The cubic root of 45414348 is about 356.7776942996. Note that the first 3 decimals are identical.

The spelling of 45414348 in words is "forty-five million, four hundred fourteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 103 116 174 181 203 206 309 348 362 406 412 543 609 618 721 724 812 1086 1218 1236 1267 1442 2163 2172 2436 2534 2884 2987 3801 4326 5068 5249 5974 7602 8652 8961 10498 11948 15204 15747 17922 18643 20909 20996 31494 35844 36743 37286 41818 55929 62727 62988 73486 74572 83636 110229 111858 125454 130501 146972 220458 223716 250908 261002 391503 440916 522004 540647 783006 1081294 1566012 1621941 2162588 3243882 3784529 6487764 7569058 11353587 15138116 22707174 45414348