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45506140 = 22519313863
BaseRepresentation
bin1010110110010…
…1111001011100
310011121221200121
42231211321130
543122144030
64303204324
71061536651
oct255457134
9104557617
1045506140
1123761489
12132a66a4
139573b14
146087c28
153edd47a
hex2b65e5c

45506140 has 48 divisors (see below), whose sum is σ = 103864320. Its totient is φ = 16683840.

The previous prime is 45506129. The next prime is 45506141. The reversal of 45506140 is 4160554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45506141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9849 + ... + 13711.

It is an arithmetic number, because the mean of its divisors is an integer number (2163840).

Almost surely, 245506140 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 45506140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51932160).

45506140 is an abundant number, since it is smaller than the sum of its proper divisors (58358180).

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

45506140 is a wasteful number, since it uses less digits than its factorization.

45506140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 45506140 is about 6745.8238933432. The cubic root of 45506140 is about 357.0179069185.

Adding to 45506140 its reverse (4160554), we get a palindrome (49666694).

The spelling of 45506140 in words is "forty-five million, five hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 3863 5890 7726 11780 15452 19315 38630 73397 77260 119753 146794 239506 293588 366985 479012 598765 733970 1197530 1467940 2275307 2395060 4550614 9101228 11376535 22753070 45506140