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974860056 = 233319298191
BaseRepresentation
bin111010000110110…
…010111100011000
32111221101000121000
4322012302330120
53444031010211
6240422345000
733105113412
oct7206627430
92457330530
10974860056
11460312875
1223258b160
13126c77391
14936859b2
155a8b7656
hex3a1b2f18

974860056 has 128 divisors (see below), whose sum is σ = 2949120000. Its totient is φ = 297198720.

The previous prime is 974860049. The next prime is 974860123. The reversal of 974860056 is 650068479.

974860056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 974859993 and 974860020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114921 + ... + 123111.

It is an arithmetic number, because the mean of its divisors is an integer number (23040000).

Almost surely, 2974860056 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 974860056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474560000).

974860056 is an abundant number, since it is smaller than the sum of its proper divisors (1974259944).

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

974860056 is a wasteful number, since it uses less digits than its factorization.

974860056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 974860056 is about 31222.7490141403. The cubic root of 974860056 is about 991.5487970381.

The spelling of 974860056 in words is "nine hundred seventy-four million, eight hundred sixty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 29 36 38 54 57 58 72 76 87 108 114 116 152 171 174 216 228 232 261 342 348 456 513 522 551 684 696 783 1026 1044 1102 1368 1566 1653 2052 2088 2204 3132 3306 4104 4408 4959 6264 6612 8191 9918 13224 14877 16382 19836 24573 29754 32764 39672 49146 59508 65528 73719 98292 119016 147438 155629 196584 221157 237539 294876 311258 442314 466887 475078 589752 622516 712617 884628 933774 950156 1245032 1400661 1425234 1769256 1867548 1900312 2137851 2801322 2850468 3735096 4201983 4275702 4513241 5602644 5700936 6413553 8403966 8551404 9026482 11205288 12827106 13539723 16807932 17102808 18052964 25654212 27079446 33615864 36105928 40619169 51308424 54158892 81238338 108317784 121857507 162476676 243715014 324953352 487430028 974860056