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44162664 = 23371373277
BaseRepresentation
bin1010100001110…
…1111001101000
310002002200210020
42220131321220
542301201124
64214320440
71044243060
oct250357150
9102080706
1044162664
1122a24077
1212959120
1391c3470
145c183a0
153d25379
hex2a1de68

44162664 has 128 divisors (see below), whose sum is σ = 138243840. Its totient is φ = 11446272.

The previous prime is 44162653. The next prime is 44162681. The reversal of 44162664 is 46626144.

44162664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 159294 + ... + 159570.

It is an arithmetic number, because the mean of its divisors is an integer number (1080030).

Almost surely, 244162664 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 44162664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69121920).

44162664 is an abundant number, since it is smaller than the sum of its proper divisors (94081176).

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

44162664 is a wasteful number, since it uses less digits than its factorization.

44162664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 44162664 is about 6645.4995297570. The cubic root of 44162664 is about 353.4693444178.

The spelling of 44162664 in words is "forty-four million, one hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 73 78 84 91 104 146 156 168 182 219 273 277 292 312 364 438 511 546 554 584 728 831 876 949 1022 1092 1108 1533 1662 1752 1898 1939 2044 2184 2216 2847 3066 3324 3601 3796 3878 4088 5694 5817 6132 6643 6648 7202 7592 7756 10803 11388 11634 12264 13286 14404 15512 19929 20221 21606 22776 23268 25207 26572 28808 39858 40442 43212 46536 50414 53144 60663 75621 79716 80884 86424 100828 121326 141547 151242 159432 161768 201656 242652 262873 283094 302484 424641 485304 525746 566188 604968 788619 849282 1051492 1132376 1577238 1698564 1840111 2102984 3154476 3397128 3680222 5520333 6308952 7360444 11040666 14720888 22081332 44162664