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450028980 = 223356771231
BaseRepresentation
bin11010110100101…
…110010110110100
31011100210211201000
4122310232112310
51410201411410
6112353403300
714103116562
oct3264562664
91140724630
10450028980
11211036485
12106869530
1372309c4b
1443aa8a32
1529796dc0
hex1ad2e5b4

450028980 has 96 divisors (see below), whose sum is σ = 1403297280. Its totient is φ = 119733120.

The previous prime is 450028963. The next prime is 450028991. The reversal of 450028980 is 89820054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364965 + ... + 366195.

It is an arithmetic number, because the mean of its divisors is an integer number (14617680).

Almost surely, 2450028980 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 450028980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701648640).

450028980 is an abundant number, since it is smaller than the sum of its proper divisors (953268300).

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

450028980 is a wasteful number, since it uses less digits than its factorization.

450028980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 450028980 is about 21213.8864897501. The cubic root of 450028980 is about 766.3258821496.

The spelling of 450028980 in words is "four hundred fifty million, twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 677 1231 1354 2031 2462 2708 3385 3693 4062 4924 6093 6155 6770 7386 8124 10155 11079 12186 12310 13540 14772 18279 18465 20310 22158 24372 24620 30465 33237 36558 36930 40620 44316 55395 60930 66474 73116 73860 91395 110790 121860 132948 166185 182790 221580 332370 365580 664740 833387 1666774 2500161 3333548 4166935 5000322 7500483 8333870 10000644 12500805 15000966 16667740 22501449 25001610 30001932 37502415 45002898 50003220 75004830 90005796 112507245 150009660 225014490 450028980