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45212970 = 23511197211
BaseRepresentation
bin1010110001111…
…0010100101010
310011002001112110
42230132110222
543033303340
64253023150
71056206145
oct254362452
9104061473
1045212970
11235811a0
1213184ab6
1394a054a
14600d05c
153e81680
hex2b1e52a

45212970 has 64 divisors (see below), whose sum is σ = 124623360. Its totient is φ = 10382400.

The previous prime is 45212933. The next prime is 45212971. The reversal of 45212970 is 7921254.

45212970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45212971) 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 31 ways as a sum of consecutive naturals, for example, 2665 + ... + 9875.

It is an arithmetic number, because the mean of its divisors is an integer number (1947240).

Almost surely, 245212970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45212970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62311680).

45212970 is an abundant number, since it is smaller than the sum of its proper divisors (79410390).

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

45212970 is a wasteful number, since it uses less digits than its factorization.

45212970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7251.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 45212970 is about 6724.0590419775. The cubic root of 45212970 is about 356.2495672509.

The spelling of 45212970 in words is "forty-five million, two hundred twelve thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 7211 14422 21633 36055 43266 72110 79321 108165 137009 158642 216330 237963 274018 396605 411027 475926 685045 793210 822054 1189815 1370090 1507099 2055135 2379630 3014198 4110270 4521297 7535495 9042594 15070990 22606485 45212970