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45618040 = 23513372371
BaseRepresentation
bin1010111000000…
…1001101111000
310011211122012001
42232001031320
543134234130
64305430344
71062514126
oct256011570
9104748161
1045618040
1123828566
121333b3b4
1395b2a30
1460b6916
1540116ca
hex2b81378

45618040 has 64 divisors (see below), whose sum is σ = 113571360. Its totient is φ = 16381440.

The previous prime is 45618037. The next prime is 45618061. The reversal of 45618040 is 4081654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18055 + ... + 20425.

Almost surely, 245618040 is an apocalyptic number.

45618040 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 45618040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56785680).

45618040 is an abundant number, since it is smaller than the sum of its proper divisors (67953320).

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

45618040 is a wasteful number, since it uses less digits than its factorization.

45618040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 45618040 is about 6754.1128210891. The cubic root of 45618040 is about 357.3103041085.

Adding to 45618040 its reverse (4081654), we get a palindrome (49699694).

It can be divided in two parts, 456 and 18040, that added together give a square (18496 = 1362).

The spelling of 45618040 in words is "forty-five million, six hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2371 2405 3848 4742 4810 9484 9620 11855 18968 19240 23710 30823 47420 61646 87727 94840 123292 154115 175454 246584 308230 350908 438635 616460 701816 877270 1140451 1232920 1754540 2280902 3509080 4561804 5702255 9123608 11404510 22809020 45618040