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45984375 = 3356109
BaseRepresentation
bin1010111101101…
…0101001110111
310012112020201000
42233122221313
543233000000
64321334343
71065601143
oct257325167
9105466630
1045984375
1123a58818
12134973b3
1396b06b8
146170223
154085000
hex2bdaa77

45984375 has 56 divisors (see below), whose sum is σ = 85936400. Its totient is φ = 24300000.

The previous prime is 45984359. The next prime is 45984467. The reversal of 45984375 is 57348954.

It is not a de Polignac number, because 45984375 - 24 = 45984359 is a prime.

It is a super-2 number, since 2×459843752 = 4229125488281250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 45984375.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 421821 + ... + 421929.

Almost surely, 245984375 is an apocalyptic number.

45984375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45984375 is a deficient number, since it is larger than the sum of its proper divisors (39952025).

45984375 is an frugal number, since it uses more digits than its factorization.

45984375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 45984375 is about 6781.1779950094. The cubic root of 45984375 is about 358.2642135776.

The spelling of 45984375 in words is "forty-five million, nine hundred eighty-four thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 109 125 135 225 327 375 545 625 675 981 1125 1635 1875 2725 2943 3125 3375 4905 5625 8175 9375 13625 14715 15625 16875 24525 28125 40875 46875 68125 73575 84375 122625 140625 204375 340625 367875 421875 613125 1021875 1703125 1839375 3065625 5109375 9196875 15328125 45984375