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45219468 = 22371929977
BaseRepresentation
bin1010110001111…
…1111010001100
310011002101110010
42230133322030
543034010333
64253113220
71056234120
oct254377214
9104071403
1045219468
1123586068
1213188810
1394a34a8
146011580
153e83563
hex2b1fe8c

45219468 has 96 divisors (see below), whose sum is σ = 131443200. Its totient is φ = 11805696.

The previous prime is 45219467. The next prime is 45219469. The reversal of 45219468 is 86491254.

It is an interprime number because it is at equal distance from previous prime (45219467) and next prime (45219469).

It is not an unprimeable number, because it can be changed into a prime (45219467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45796 + ... + 46772.

It is an arithmetic number, because the mean of its divisors is an integer number (1369200).

Almost surely, 245219468 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 45219468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65721600).

45219468 is an abundant number, since it is smaller than the sum of its proper divisors (86223732).

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

45219468 is a wasteful number, since it uses less digits than its factorization.

45219468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1037 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 45219468 is about 6724.5422149021. The cubic root of 45219468 is about 356.2666331415.

The spelling of 45219468 in words is "forty-five million, two hundred nineteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 29 38 42 57 58 76 84 87 114 116 133 174 203 228 266 348 399 406 532 551 609 798 812 977 1102 1218 1596 1653 1954 2204 2436 2931 3306 3857 3908 5862 6612 6839 7714 11571 11724 13678 15428 18563 20517 23142 27356 28333 37126 41034 46284 55689 56666 74252 82068 84999 111378 113332 129941 169998 198331 222756 259882 339996 389823 396662 519764 538327 594993 779646 793324 1076654 1189986 1559292 1614981 2153308 2379972 3229962 3768289 6459924 7536578 11304867 15073156 22609734 45219468