Search a number
-
+
972614992 = 242947103433
BaseRepresentation
bin111001111110001…
…110110101010000
32111210010221221111
4321332032311100
53442442134432
6240302303104
733050043136
oct7176166520
92453127844
10972614992
1145a01a048
12231887a94
1312666c53b
149325d756
155a5c2347
hex39f8ed50

972614992 has 80 divisors (see below), whose sum is σ = 2014871040. Its totient is φ = 454035456.

The previous prime is 972614971. The next prime is 972615001. The reversal of 972614992 is 299416279.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2246008 + ... + 2246440.

It is an arithmetic number, because the mean of its divisors is an integer number (25185888).

Almost surely, 2972614992 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 972614992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007435520).

972614992 is an abundant number, since it is smaller than the sum of its proper divisors (1042256048).

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

972614992 is a wasteful number, since it uses less digits than its factorization.

972614992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its digits is 489888, while the sum is 49.

The square root of 972614992 is about 31186.7759154421. The cubic root of 972614992 is about 990.7870461418.

The spelling of 972614992 in words is "nine hundred seventy-two million, six hundred fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 47 58 94 103 116 188 206 232 376 412 433 464 752 824 866 1363 1648 1732 2726 2987 3464 4841 5452 5974 6928 9682 10904 11948 12557 19364 20351 21808 23896 25114 38728 40702 44599 47792 50228 77456 81404 89198 100456 140389 162808 178396 200912 280778 325616 356792 561556 590179 713584 1123112 1180358 1293371 2096153 2246224 2360716 2586742 4192306 4721432 5173484 8384612 9442864 10346968 16769224 20693936 33538448 60788437 121576874 243153748 486307496 972614992