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45469116 = 223271147349
BaseRepresentation
bin1010110101110…
…0110110111100
310011120001220100
42231130312330
543120002431
64302321100
71061324010
oct255346674
9104501810
1045469116
1123736690
1213289190
139560004
146078540
153ed24e6
hex2b5cdbc

45469116 has 144 divisors (see below), whose sum is σ = 146764800. Its totient is φ = 11525760.

The previous prime is 45469093. The next prime is 45469141. The reversal of 45469116 is 61196454.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130110 + ... + 130458.

It is an arithmetic number, because the mean of its divisors is an integer number (1019200).

Almost surely, 245469116 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 45469116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73382400).

45469116 is an abundant number, since it is smaller than the sum of its proper divisors (101295684).

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

45469116 is a wasteful number, since it uses less digits than its factorization.

45469116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 45469116 is about 6743.0791186223. The cubic root of 45469116 is about 356.9210568567.

The spelling of 45469116 in words is "forty-five million, four hundred sixty-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 47 63 66 77 84 94 99 126 132 141 154 188 198 231 252 282 308 329 349 396 423 462 517 564 658 693 698 846 924 987 1034 1047 1316 1386 1396 1551 1692 1974 2068 2094 2443 2772 2961 3102 3141 3619 3839 3948 4188 4653 4886 5922 6204 6282 7238 7329 7678 9306 9772 10857 11517 11844 12564 14476 14658 15356 16403 18612 21714 21987 23034 26873 29316 32571 32806 34551 43428 43974 46068 49209 53746 65142 65612 69102 80619 87948 98418 107492 114821 130284 138204 147627 161238 180433 196836 229642 241857 295254 322476 344463 360866 459284 483714 541299 590508 688926 721732 967428 1033389 1082598 1263031 1377852 1623897 2066778 2165196 2526062 3247794 3789093 4133556 5052124 6495588 7578186 11367279 15156372 22734558 45469116