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45494448 = 24317127439
BaseRepresentation
bin1010110110001…
…1000010110000
310011121100122120
42231203002300
543121310243
64303034240
71061460606
oct255430260
9104540576
1045494448
112375371a
121329b980
13956b6bc
146083876
153ed9c83
hex2b630b0

45494448 has 80 divisors (see below), whose sum is σ = 125706240. Its totient is φ = 14128128.

The previous prime is 45494447. The next prime is 45494459. The reversal of 45494448 is 84449454.

It is not an unprimeable number, because it can be changed into a prime (45494443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 103413 + ... + 103851.

It is an arithmetic number, because the mean of its divisors is an integer number (1571328).

Almost surely, 245494448 is an apocalyptic number.

45494448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45494448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853120).

45494448 is an abundant number, since it is smaller than the sum of its proper divisors (80211792).

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

45494448 is a wasteful number, since it uses less digits than its factorization.

45494448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 45494448 is about 6744.9572274404. The cubic root of 45494448 is about 356.9873278148.

The spelling of 45494448 in words is "forty-five million, four hundred ninety-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 127 136 204 254 272 381 408 439 508 762 816 878 1016 1317 1524 1756 2032 2159 2634 3048 3512 4318 5268 6096 6477 7024 7463 8636 10536 12954 14926 17272 21072 22389 25908 29852 34544 44778 51816 55753 59704 89556 103632 111506 119408 167259 179112 223012 334518 358224 446024 669036 892048 947801 1338072 1895602 2676144 2843403 3791204 5686806 7582408 11373612 15164816 22747224 45494448