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975109044 = 2237132149461
BaseRepresentation
bin111010000111101…
…111101110110100
32111221211200010210
4322013233232310
53444111442134
6240431545420
733110201340
oct7207575664
92457750123
10975109044
11460472948
1223268b270
13127033800
149370c620
155a9162e9
hex3a1efbb4

975109044 has 144 divisors (see below), whose sum is σ = 2840745600. Its totient is φ = 254891520.

The previous prime is 975109043. The next prime is 975109049. The reversal of 975109044 is 440901579.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 975108993 and 975109011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975109043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2114974 + ... + 2115434.

It is an arithmetic number, because the mean of its divisors is an integer number (19727400).

Almost surely, 2975109044 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 975109044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420372800).

975109044 is an abundant number, since it is smaller than the sum of its proper divisors (1865636556).

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

975109044 is a wasteful number, since it uses less digits than its factorization.

975109044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 975109044 is about 31226.7360446141. The cubic root of 975109044 is about 991.6332066702.

The spelling of 975109044 in words is "nine hundred seventy-five million, one hundred nine thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 149 156 169 182 273 298 338 364 447 461 507 546 596 676 894 922 1014 1043 1092 1183 1383 1788 1844 1937 2028 2086 2366 2766 3129 3227 3549 3874 4172 4732 5532 5811 5993 6258 6454 7098 7748 9681 11622 11986 12516 12908 13559 14196 17979 19362 23244 23972 25181 27118 35958 38724 40677 41951 50362 54236 68689 71916 75543 77909 81354 83902 100724 125853 137378 151086 155818 162708 167804 176267 206067 233727 251706 274756 302172 311636 352534 412134 467454 480823 503412 528801 545363 705068 824268 892957 934908 961646 1057602 1090726 1442469 1636089 1785914 1923292 2115204 2181452 2678871 2884938 3272178 3571828 5357742 5769876 6250699 6544356 10715484 11608441 12501398 18752097 23216882 25002796 34825323 37504194 46433764 69650646 75008388 81259087 139301292 162518174 243777261 325036348 487554522 975109044