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45375300 = 22325250417
BaseRepresentation
bin1010110100010…
…1111101000100
310011101022012200
42231011331010
543104002200
64300314500
71060453335
oct255057504
9104338180
1045375300
1123682153
1213242a30
1395293b9
14605228c
153eb4800
hex2b45f44

45375300 has 54 divisors (see below), whose sum is σ = 142229178. Its totient is φ = 12099840.

The previous prime is 45375269. The next prime is 45375313. The reversal of 45375300 is 357354.

It is a happy number.

45375300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1179396 + 44195904 = 1086^2 + 6648^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24309 + ... + 26108.

Almost surely, 245375300 is an apocalyptic number.

It is an amenable number.

45375300 is an abundant number, since it is smaller than the sum of its proper divisors (96853878).

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

45375300 is a wasteful number, since it uses less digits than its factorization.

45375300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50437 (or 50427 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 45375300 is about 6736.1190607055. The cubic root of 45375300 is about 356.6754105445.

The spelling of 45375300 in words is "forty-five million, three hundred seventy-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 50417 100834 151251 201668 252085 302502 453753 504170 605004 756255 907506 1008340 1260425 1512510 1815012 2268765 2520850 3025020 3781275 4537530 5041700 7562550 9075060 11343825 15125100 22687650 45375300