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45120375 = 335329461
BaseRepresentation
bin1010110000011…
…1101101110111
310010220100112000
42230013231313
543022323000
64251030343
71055342166
oct254075567
9103810460
1045120375
1123518673
121313b3b3
13946a361
145dc73dd
153e64000
hex2b07b77

45120375 has 64 divisors (see below), whose sum is σ = 86486400. Its totient is φ = 23184000.

The previous prime is 45120371. The next prime is 45120379. The reversal of 45120375 is 57302154.

It is a happy number.

45120375 is a `hidden beast` number, since 451 + 203 + 7 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (45120371) and next prime (45120379).

It is not a de Polignac number, because 45120375 - 22 = 45120371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45120371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97645 + ... + 98105.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 245120375 is an apocalyptic number.

45120375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45120375 is a deficient number, since it is larger than the sum of its proper divisors (41366025).

45120375 is a wasteful number, since it uses less digits than its factorization.

45120375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 45120375 is about 6717.1701630970. The cubic root of 45120375 is about 356.0062043905.

The spelling of 45120375 in words is "forty-five million, one hundred twenty thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 87 125 135 145 225 261 375 435 461 675 725 783 1125 1305 1383 2175 2305 3375 3625 3915 4149 6525 6915 10875 11525 12447 13369 19575 20745 32625 34575 40107 57625 62235 66845 97875 103725 120321 172875 200535 311175 334225 360963 518625 601605 1002675 1555875 1671125 1804815 3008025 5013375 9024075 15040125 45120375