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45198468 = 22327672677
BaseRepresentation
bin1010110001101…
…0110010000100
310011001022122100
42230122302010
543032322333
64252432100
71056115650
oct254326204
9104038570
1045198468
1123571307
1213178630
139496a73
146007a60
153e7c213
hex2b1ac84

45198468 has 72 divisors (see below), whose sum is σ = 132571712. Its totient is φ = 12716352.

The previous prime is 45198467. The next prime is 45198479. The reversal of 45198468 is 86489154.

It is not an unprimeable number, because it can be changed into a prime (45198463) 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 23 ways as a sum of consecutive naturals, for example, 15546 + ... + 18222.

Almost surely, 245198468 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 45198468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66285856).

45198468 is an abundant number, since it is smaller than the sum of its proper divisors (87373244).

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

45198468 is a wasteful number, since it uses less digits than its factorization.

45198468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2756 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 45198468 is about 6722.9805889947. The cubic root of 45198468 is about 356.2114743196.

The spelling of 45198468 in words is "forty-five million, one hundred ninety-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1206 1407 1876 2412 2677 2814 4221 5354 5628 8031 8442 10708 16062 16884 18739 24093 32124 37478 48186 56217 74956 96372 112434 168651 179359 224868 337302 358718 538077 674604 717436 1076154 1255513 1614231 2152308 2511026 3228462 3766539 5022052 6456924 7533078 11299617 15066156 22599234 45198468