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45920644 = 22721119259
BaseRepresentation
bin1010111100101…
…1000110000100
310012102000021121
42233023012010
543223430034
64320123324
71065214300
oct257130604
9105360247
1045920644
1123a14950
1213466544
13968a6a3
146154d00
1540711b4
hex2bcb184

45920644 has 108 divisors (see below), whose sum is σ = 109453680. Its totient is φ = 16662240.

The previous prime is 45920639. The next prime is 45920647. The reversal of 45920644 is 44602954.

It is not an unprimeable number, because it can be changed into a prime (45920647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 778287 + ... + 778345.

It is an arithmetic number, because the mean of its divisors is an integer number (1013460).

Almost surely, 245920644 is an apocalyptic number.

45920644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45920644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54726840).

45920644 is an abundant number, since it is smaller than the sum of its proper divisors (63533036).

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

45920644 is a wasteful number, since it uses less digits than its factorization.

45920644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 45920644 is about 6776.4772559199. The cubic root of 45920644 is about 358.0986276744.

It can be divided in two parts, 45920 and 644, that added together give a palindrome (46564).

The spelling of 45920644 in words is "forty-five million, nine hundred twenty thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 59 76 77 98 118 133 154 196 209 236 266 308 361 413 418 532 539 649 722 826 836 931 1078 1121 1298 1444 1463 1652 1862 2156 2242 2527 2596 2891 2926 3724 3971 4484 4543 5054 5782 5852 7847 7942 9086 10108 10241 11564 12331 15694 15884 17689 18172 20482 21299 24662 27797 31388 31801 35378 40964 42598 49324 54929 55594 63602 70756 85196 86317 109858 111188 127204 149093 172634 194579 219716 234289 298186 345268 389158 468578 596372 604219 778316 937156 1043651 1208438 1640023 2087302 2416876 3280046 4174604 6560092 11480161 22960322 45920644