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45685480 = 2354189313
BaseRepresentation
bin1010111001000…
…1101011101000
310011222001200211
42232101223220
543143413410
64311110504
71063214551
oct256215350
9104861624
1045685480
11238741a5
1213372434
139607639
1460d3328
15402668a
hex2b91ae8

45685480 has 64 divisors (see below), whose sum is σ = 106822800. Its totient is φ = 17571840.

The previous prime is 45685459. The next prime is 45685483. The reversal of 45685480 is 8458654.

45685480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 338724 + 45346756 = 582^2 + 6734^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (45685483) 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 15 ways as a sum of consecutive naturals, for example, 145804 + ... + 146116.

Almost surely, 245685480 is an apocalyptic number.

45685480 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 45685480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53411400).

45685480 is an abundant number, since it is smaller than the sum of its proper divisors (61137320).

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

45685480 is a wasteful number, since it uses less digits than its factorization.

45685480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 45685480 is about 6759.1034908485. The cubic root of 45685480 is about 357.4862954630.

The spelling of 45685480 in words is "forty-five million, six hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 89 164 178 205 313 328 356 410 445 626 712 820 890 1252 1565 1640 1780 2504 3130 3560 3649 6260 7298 12520 12833 14596 18245 25666 27857 29192 36490 51332 55714 64165 72980 102664 111428 128330 139285 145960 222856 256660 278570 513320 557140 1114280 1142137 2284274 4568548 5710685 9137096 11421370 22842740 45685480