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44146816 = 277291699
BaseRepresentation
bin1010100001101…
…0000010000000
310002001220001021
42220122002000
542300144231
64214115224
71044145630
oct250320200
9102056037
1044146816
1122a1317a
121294bb14
1391b919c
145c126c0
153d20811
hex2a1a080

44146816 has 64 divisors (see below), whose sum is σ = 104040000. Its totient is φ = 18256896.

The previous prime is 44146811. The next prime is 44146819. The reversal of 44146816 is 61864144.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (44146811) 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 7 ways as a sum of consecutive naturals, for example, 25135 + ... + 26833.

It is an arithmetic number, because the mean of its divisors is an integer number (1625625).

Almost surely, 244146816 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 44146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52020000).

44146816 is an abundant number, since it is smaller than the sum of its proper divisors (59893184).

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

44146816 is a wasteful number, since it uses less digits than its factorization.

44146816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1737 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 44146816 is about 6644.3070368549. The cubic root of 44146816 is about 353.4270579260.

The spelling of 44146816 in words is "forty-four million, one hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1699 1856 3248 3398 3712 6496 6796 11893 12992 13592 23786 25984 27184 47572 49271 54368 95144 98542 108736 190288 197084 217472 344897 380576 394168 689794 761152 788336 1379588 1522304 1576672 2759176 3153344 5518352 6306688 11036704 22073408 44146816