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45650640 = 2435729937
BaseRepresentation
bin1010111000100…
…1001011010000
310011220021220110
42232021023100
543141310030
64310241320
71063011150
oct256111320
9104807813
1045650640
1123850002
1213356240
1395c4819
1460c4760
15401b1b0
hex2b892d0

45650640 has 160 divisors (see below), whose sum is σ = 167489280. Its totient is φ = 10063872.

The previous prime is 45650621. The next prime is 45650641. The reversal of 45650640 is 4605654.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45650598 and 45650607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45650641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48252 + ... + 49188.

It is an arithmetic number, because the mean of its divisors is an integer number (1046808).

Almost surely, 245650640 is an apocalyptic number.

45650640 is a gapful number since it is divisible by the number (40) 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 45650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83744640).

45650640 is an abundant number, since it is smaller than the sum of its proper divisors (121838640).

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

45650640 is a wasteful number, since it uses less digits than its factorization.

45650640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 45650640 is about 6756.5257344289. The cubic root of 45650640 is about 357.3953986769.

The spelling of 45650640 in words is "forty-five million, six hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 937 1015 1160 1218 1392 1624 1680 1740 1874 2030 2320 2436 2811 3045 3248 3480 3748 4060 4685 4872 5622 6090 6559 6960 7496 8120 9370 9744 11244 12180 13118 14055 14992 16240 18740 19677 22488 24360 26236 27173 28110 32795 37480 39354 44976 48720 52472 54346 56220 65590 74960 78708 81519 98385 104944 108692 112440 131180 135865 157416 163038 190211 196770 217384 224880 262360 271730 314832 326076 380422 393540 407595 434768 524720 543460 570633 652152 760844 787080 815190 951055 1086920 1141266 1304304 1521688 1574160 1630380 1902110 2173840 2282532 2853165 3043376 3260760 3804220 4565064 5706330 6521520 7608440 9130128 11412660 15216880 22825320 45650640