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45383712 = 2531123907
BaseRepresentation
bin1010110100100…
…0000000100000
310011101201202020
42231020000200
543104234322
64300421440
71060520013
oct255100040
9104351666
1045383712
1123688500
1213247880
13953018a
14605537a
153eb705c
hex2b48020

45383712 has 72 divisors (see below), whose sum is σ = 130980528. Its totient is φ = 13749120.

The previous prime is 45383711. The next prime is 45383713. The reversal of 45383712 is 21738354.

It is an interprime number because it is at equal distance from previous prime (45383711) and next prime (45383713).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (45383711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9663 + ... + 13569.

It is an arithmetic number, because the mean of its divisors is an integer number (1819174).

Almost surely, 245383712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45383712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65490264).

45383712 is an abundant number, since it is smaller than the sum of its proper divisors (85596816).

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

45383712 is a wasteful number, since it uses less digits than its factorization.

45383712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3923 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 45383712 is about 6736.7434269089. The cubic root of 45383712 is about 356.6974502016.

The spelling of 45383712 in words is "forty-five million, three hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 3907 5808 7814 11616 11721 15628 23442 31256 42977 46884 62512 85954 93768 125024 128931 171908 187536 257862 343816 375072 472747 515724 687632 945494 1031448 1375264 1418241 1890988 2062896 2836482 3781976 4125792 5672964 7563952 11345928 15127904 22691856 45383712