Search a number
-
+
972493368 = 2337111134657
BaseRepresentation
bin111001111101110…
…001001000111000
32111202220210002220
4321331301020320
53442424241433
6240255524040
733046025430
oct7175611070
92452823086
10972493368
11459a46730
12231829620
13126629082
149322b2c0
155a59b2b3
hex39f71238

972493368 has 128 divisors (see below), whose sum is σ = 3058629120. Its totient is φ = 250306560.

The previous prime is 972493367. The next prime is 972493393. The reversal of 972493368 is 863394279.

It is a self number, because there is not a number n which added to its sum of digits gives 972493368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972493363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206496 + ... + 211152.

It is an arithmetic number, because the mean of its divisors is an integer number (23895540).

Almost surely, 2972493368 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 972493368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529314560).

972493368 is an abundant number, since it is smaller than the sum of its proper divisors (2086135752).

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

972493368 is a wasteful number, since it uses less digits than its factorization.

972493368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797 (or 4793 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 972493368 is about 31184.8259254401. The cubic root of 972493368 is about 990.7457456245.

The spelling of 972493368 in words is "nine hundred seventy-two million, four hundred ninety-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 113 132 154 168 226 231 264 308 339 452 462 616 678 791 904 924 1243 1356 1582 1848 2373 2486 2712 3164 3729 4657 4746 4972 6328 7458 8701 9314 9492 9944 13971 14916 17402 18628 18984 26103 27942 29832 32599 34804 37256 51227 52206 55884 65198 69608 97797 102454 104412 111768 130396 153681 195594 204908 208824 260792 307362 358589 391188 409816 526241 614724 717178 782376 1052482 1075767 1229448 1434356 1578723 2104964 2151534 2868712 3157446 3683687 4209928 4303068 5788651 6314892 7367374 8606136 11051061 11577302 12629784 14734748 17365953 22102122 23154604 29469496 34731906 40520557 44204244 46309208 69463812 81041114 88408488 121561671 138927624 162082228 243123342 324164456 486246684 972493368