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44201106 = 2331967643
BaseRepresentation
bin1010100010011…
…1010010010010
310002011122112000
42220213102102
542303413411
64215214430
71044463125
oct250472222
9102148460
1044201106
1122a4aa44
1212977416
139207b01
145c283bc
153d31956
hex2a27492

44201106 has 64 divisors (see below), whose sum is σ = 105100800. Its totient is φ = 13728528.

The previous prime is 44201063. The next prime is 44201117. The reversal of 44201106 is 60110244.

44201106 = 7792 + 7802 + ... + 8452.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68421 + ... + 69063.

It is an arithmetic number, because the mean of its divisors is an integer number (1642200).

Almost surely, 244201106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44201106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52550400).

44201106 is an abundant number, since it is smaller than the sum of its proper divisors (60899694).

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

44201106 is a wasteful number, since it uses less digits than its factorization.

44201106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 44201106 is about 6648.3912339753. The cubic root of 44201106 is about 353.5718754291.

The spelling of 44201106 in words is "forty-four million, two hundred one thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 67 114 134 171 201 342 402 513 603 643 1026 1206 1273 1286 1809 1929 2546 3618 3819 3858 5787 7638 11457 11574 12217 17361 22914 24434 34371 34722 36651 43081 68742 73302 86162 109953 129243 219906 258486 329859 387729 659718 775458 818539 1163187 1637078 2326374 2455617 4911234 7366851 14733702 22100553 44201106