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45530208 = 253352697
BaseRepresentation
bin1010110110101…
…1110001100000
310011200011201000
42231223301200
543123431313
64303512000
71062000063
oct255536140
9104604630
1045530208
1123778579
12132b8600
139581a69
1460928da
153ee5673
hex2b6bc60

45530208 has 48 divisors (see below), whose sum is σ = 132798960. Its totient is φ = 15176448.

The previous prime is 45530207. The next prime is 45530209. The reversal of 45530208 is 80203554.

45530208 is a `hidden beast` number, since 455 + 3 + 0 + 208 = 666.

45530208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45530207) and next prime (45530209).

It is a tau number, because it is divible by the number of its divisors (48).

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 (45530207) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25485 + ... + 27212.

It is an arithmetic number, because the mean of its divisors is an integer number (2766645).

Almost surely, 245530208 is an apocalyptic number.

45530208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45530208 is an abundant number, since it is smaller than the sum of its proper divisors (87268752).

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

45530208 is a wasteful number, since it uses less digits than its factorization.

45530208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52716 (or 52702 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45530208 is about 6747.6075760228. The cubic root of 45530208 is about 357.0808375659.

The spelling of 45530208 in words is "forty-five million, five hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 52697 105394 158091 210788 316182 421576 474273 632364 843152 948546 1264728 1422819 1686304 1897092 2529456 2845638 3794184 5058912 5691276 7588368 11382552 15176736 22765104 45530208