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45375240 = 2335378127
BaseRepresentation
bin1010110100010…
…1111100001000
310011101022010110
42231011330020
543104001430
64300314320
71060453221
oct255057410
9104338113
1045375240
11236820a9
12132429a0
139529371
146052248
153eb47b0
hex2b45f08

45375240 has 32 divisors (see below), whose sum is σ = 136126080. Its totient is φ = 12100032.

The previous prime is 45375229. The next prime is 45375241. The reversal of 45375240 is 4257354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45375198 and 45375207.

It is not an unprimeable number, because it can be changed into a prime (45375241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188944 + ... + 189183.

It is an arithmetic number, because the mean of its divisors is an integer number (4253940).

Almost surely, 245375240 is an apocalyptic number.

45375240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45375240 is an abundant number, since it is smaller than the sum of its proper divisors (90750840).

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

45375240 is a wasteful number, since it uses less digits than its factorization.

45375240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378141 (or 378137 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 45375240 is about 6736.1146071010. The cubic root of 45375240 is about 356.6752533331.

It can be divided in two parts, 45375 and 240, that multiplied together give a square (10890000 = 33002).

The spelling of 45375240 in words is "forty-five million, three hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 378127 756254 1134381 1512508 1890635 2268762 3025016 3781270 4537524 5671905 7562540 9075048 11343810 15125080 22687620 45375240