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45643980 = 22351773613
BaseRepresentation
bin1010111000011…
…1100011001100
310011212221202210
42232013203030
543141101410
64310150420
71062652554
oct256074314
9104787683
1045643980
1123845aa8
1213352410
1395c1795
1460c2164
154019220
hex2b878cc

45643980 has 96 divisors (see below), whose sum is σ = 137398464. Its totient is φ = 11280384.

The previous prime is 45643967. The next prime is 45643987. The reversal of 45643980 is 8934654.

45643980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45643987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74154 + ... + 74766.

It is an arithmetic number, because the mean of its divisors is an integer number (1431234).

Almost surely, 245643980 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 45643980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68699232).

45643980 is an abundant number, since it is smaller than the sum of its proper divisors (91754484).

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

45643980 is a wasteful number, since it uses less digits than its factorization.

45643980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 45643980 is about 6756.0328596004. The cubic root of 45643980 is about 357.3780176200.

The spelling of 45643980 in words is "forty-five million, six hundred forty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 73 85 102 146 170 204 219 255 292 340 365 438 510 613 730 876 1020 1095 1226 1241 1460 1839 2190 2452 2482 3065 3678 3723 4380 4964 6130 6205 7356 7446 9195 10421 12260 12410 14892 18390 18615 20842 24820 31263 36780 37230 41684 44749 52105 62526 74460 89498 104210 125052 134247 156315 178996 208420 223745 268494 312630 447490 536988 625260 671235 760733 894980 1342470 1521466 2282199 2684940 3042932 3803665 4564398 7607330 9128796 11410995 15214660 22821990 45643980