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45019044 = 22337247181
BaseRepresentation
bin1010101110111…
…0111110100100
310010201012112000
42223232332210
543011102134
64244525300
71054440600
oct253567644
9103635460
1045019044
1123459524
12130b0830
1394331b5
145d9c500
153e43e99
hex2aeefa4

45019044 has 144 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 12519360.

The previous prime is 45019021. The next prime is 45019057. The reversal of 45019044 is 44091054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45018999 and 45019017.

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, 248634 + ... + 248814.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 245019044 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 45019044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

45019044 is an abundant number, since it is smaller than the sum of its proper divisors (94407516).

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

45019044 is a wasteful number, since it uses less digits than its factorization.

45019044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45019044 is about 6709.6232383048. The cubic root of 45019044 is about 355.7394992807.

The spelling of 45019044 in words is "forty-five million, nineteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 49 54 63 84 94 98 108 126 141 147 181 188 189 196 252 282 294 329 362 378 423 441 543 564 588 658 724 756 846 882 987 1086 1267 1269 1316 1323 1629 1692 1764 1974 2172 2303 2534 2538 2646 2961 3258 3801 3948 4606 4887 5068 5076 5292 5922 6516 6909 7602 8507 8869 8883 9212 9774 11403 11844 13818 15204 17014 17738 17766 19548 20727 22806 25521 26607 27636 34028 34209 35476 35532 41454 45612 51042 53214 59549 62181 68418 76563 79821 82908 102084 106428 119098 124362 136836 153126 159642 178647 229689 238196 239463 248724 306252 319284 357294 416843 459378 478926 535941 714588 833686 918756 957852 1071882 1250529 1607823 1667372 2143764 2501058 3215646 3751587 5002116 6431292 7503174 11254761 15006348 22509522 45019044