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44948016 = 24323110069
BaseRepresentation
bin1010101101110…
…1101000110000
310010120121002100
42223131220300
543001314031
64243220400
71054023531
oct253355060
9103517070
1044948016
1123410123
1213077700
139409a79
145d80688
153e2cde6
hex2adda30

44948016 has 60 divisors (see below), whose sum is σ = 129862720. Its totient is φ = 14497920.

The previous prime is 44948011. The next prime is 44948021. The reversal of 44948016 is 61084944.

It is a happy number.

44948016 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 (44948011) and next prime (44948021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44948011) 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 11 ways as a sum of consecutive naturals, for example, 571 + ... + 9498.

Almost surely, 244948016 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 44948016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64931360).

44948016 is an abundant number, since it is smaller than the sum of its proper divisors (84914704).

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

44948016 is a wasteful number, since it uses less digits than its factorization.

With its successor (44948017) it forms an eRAP, since the sums of their prime factors are consecutive (10114 and 10115).

44948016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10114 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 44948016 is about 6704.3281542598. The cubic root of 44948016 is about 355.5523135700.

The spelling of 44948016 in words is "forty-four million, nine hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 10069 20138 30207 40276 60414 80552 90621 120828 161104 181242 241656 312139 362484 483312 624278 724968 936417 1248556 1449936 1872834 2497112 2809251 3745668 4994224 5618502 7491336 11237004 14982672 22474008 44948016