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45226125 = 325375743
BaseRepresentation
bin1010110010000…
…1100010001101
310011002201120200
42230201202031
543034214000
64253204113
71056262410
oct254414215
9104081520
1045226125
112359006a
1213190639
1394a6529
146013b77
153e85500
hex2b2188d

45226125 has 48 divisors (see below), whose sum is σ = 93190656. Its totient is φ = 20671200.

The previous prime is 45226081. The next prime is 45226141. The reversal of 45226125 is 52162254.

45226125 is a `hidden beast` number, since 45 + 2 + 2 + 612 + 5 = 666.

It is not a de Polignac number, because 45226125 - 210 = 45225101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5004 + ... + 10746.

It is an arithmetic number, because the mean of its divisors is an integer number (1941472).

Almost surely, 245226125 is an apocalyptic number.

45226125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45226125 is an abundant number, since it is smaller than the sum of its proper divisors (47964531).

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

45226125 is a wasteful number, since it uses less digits than its factorization.

45226125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771 (or 5758 counting only the distinct ones).

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

The square root of 45226125 is about 6725.0371746184. The cubic root of 45226125 is about 356.2841149232.

Adding to 45226125 its reverse (52162254), we get a palindrome (97388379).

The spelling of 45226125 in words is "forty-five million, two hundred twenty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1575 2625 5743 7875 17229 28715 40201 51687 86145 120603 143575 201005 258435 361809 430725 603015 717875 1005025 1292175 1809045 2153625 3015075 5025125 6460875 9045225 15075375 45226125