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45388112 = 24721119277
BaseRepresentation
bin1010110100100…
…1000101010000
310011101221210012
42231021011100
543104404422
64300454052
71060535600
oct255110520
9104357705
1045388112
1123690840
121324a328
139532193
146056c00
153eb84e2
hex2b49150

45388112 has 120 divisors (see below), whose sum is σ = 117894240. Its totient is φ = 16692480.

The previous prime is 45388097. The next prime is 45388127. The reversal of 45388112 is 21188354.

It is an interprime number because it is at equal distance from previous prime (45388097) and next prime (45388127).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163718 + ... + 163994.

It is an arithmetic number, because the mean of its divisors is an integer number (982452).

Almost surely, 245388112 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 45388112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58947120).

45388112 is an abundant number, since it is smaller than the sum of its proper divisors (72506128).

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

45388112 is a wasteful number, since it uses less digits than its factorization.

45388112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 45388112 is about 6737.0699862774. The cubic root of 45388112 is about 356.7089772304.

The spelling of 45388112 in words is "forty-five million, three hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 49 56 76 77 88 98 112 133 152 154 176 196 209 266 277 304 308 392 418 532 539 554 616 784 836 931 1064 1078 1108 1232 1463 1672 1862 1939 2128 2156 2216 2926 3047 3344 3724 3878 4312 4432 5263 5852 6094 7448 7756 8624 10241 10526 11704 12188 13573 14896 15512 20482 21052 21329 23408 24376 27146 31024 36841 40964 42104 42658 48752 54292 57893 73682 81928 84208 85316 108584 115786 147364 149303 163856 170632 217168 231572 257887 294728 298606 341264 405251 463144 515774 589456 597212 810502 926288 1031548 1194424 1621004 2063096 2388848 2836757 3242008 4126192 5673514 6484016 11347028 22694056 45388112