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45503040 = 26351131139
BaseRepresentation
bin1010110110010…
…1001001000000
310011121210102210
42231211021000
543122044130
64303142120
71061524632
oct255451100
9104553383
1045503040
112375a120
12132a4940
13957259b
146086a52
153edc5b0
hex2b65240

45503040 has 224 divisors, whose sum is σ = 163860480. Its totient is φ = 10598400.

The previous prime is 45503027. The next prime is 45503047. The reversal of 45503040 is 4030554.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45502998 and 45503016.

It is not an unprimeable number, because it can be changed into a prime (45503047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327291 + ... + 327429.

It is an arithmetic number, because the mean of its divisors is an integer number (731520).

Almost surely, 245503040 is an apocalyptic number.

45503040 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 45503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240).

45503040 is an abundant number, since it is smaller than the sum of its proper divisors (118357440).

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

45503040 is a wasteful number, since it uses less digits than its factorization.

45503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 45503040 is about 6745.5941176445. The cubic root of 45503040 is about 357.0097997294.

Adding to 45503040 its reverse (4030554), we get a palindrome (49533594).

The spelling of 45503040 in words is "forty-five million, five hundred three thousand, forty".