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939145248 = 253231372843
BaseRepresentation
bin110111111110100…
…011100000100000
32102110011112002100
4313332203200200
53410410121443
6233105050400
732162413536
oct6776434040
92373145070
10939145248
114421397a8
12222626a00
1311c751162
148ca2a156
15576b03d3
hex37fa3820

939145248 has 144 divisors (see below), whose sum is σ = 2832350976. Its totient is φ = 294658560.

The previous prime is 939145247. The next prime is 939145261. The reversal of 939145248 is 842541939.

939145248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (939145247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328915 + ... + 331757.

It is an arithmetic number, because the mean of its divisors is an integer number (19669104).

Almost surely, 2939145248 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 939145248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416175488).

939145248 is an abundant number, since it is smaller than the sum of its proper divisors (1893205728).

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

939145248 is a wasteful number, since it uses less digits than its factorization.

939145248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2916 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 939145248 is about 30645.4767951161. The cubic root of 939145248 is about 979.2891026505.

The spelling of 939145248 in words is "nine hundred thirty-nine million, one hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 37 48 62 72 74 93 96 111 124 144 148 186 222 248 279 288 296 333 372 444 496 558 592 666 744 888 992 1116 1147 1184 1332 1488 1776 2232 2294 2664 2843 2976 3441 3552 4464 4588 5328 5686 6882 8529 8928 9176 10323 10656 11372 13764 17058 18352 20646 22744 25587 27528 34116 36704 41292 45488 51174 55056 68232 82584 88133 90976 102348 105191 110112 136464 165168 176266 204696 210382 264399 272928 315573 330336 352532 409392 420764 528798 631146 705064 793197 818784 841528 946719 1057596 1262292 1410128 1586394 1683056 1893438 2115192 2524584 2820256 3172788 3260921 3366112 3786876 4230384 5049168 6345576 6521842 7573752 8460768 9782763 10098336 12691152 13043684 15147504 19565526 25382304 26087368 29348289 30295008 39131052 52174736 58696578 78262104 104349472 117393156 156524208 234786312 313048416 469572624 939145248