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45376540 = 22511239863
BaseRepresentation
bin1010110100011…
…0010000011100
310011101100220121
42231012100130
543104022130
64300324324
71060460056
oct255062034
9104340817
1045376540
1123683080
12132436a4
139529b31
1460528d6
153eb4d7a
hex2b4641c

45376540 has 48 divisors (see below), whose sum is σ = 104509440. Its totient is φ = 16412480.

The previous prime is 45376537. The next prime is 45376543. The reversal of 45376540 is 4567354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45376537) and next prime (45376543).

It is a junction number, because it is equal to n+sod(n) for n = 45376496 and 45376505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45376543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52149 + ... + 53011.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 245376540 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 45376540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

45376540 is an abundant number, since it is smaller than the sum of its proper divisors (59132900).

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

45376540 is a wasteful number, since it uses less digits than its factorization.

45376540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 45376540 is about 6736.2111012052. The cubic root of 45376540 is about 356.6786595476.

The spelling of 45376540 in words is "forty-five million, three hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 239 478 863 956 1195 1726 2390 2629 3452 4315 4780 5258 8630 9493 10516 13145 17260 18986 26290 37972 47465 52580 94930 189860 206257 412514 825028 1031285 2062570 2268827 4125140 4537654 9075308 11344135 22688270 45376540