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972954892 = 2271310325951
BaseRepresentation
bin111001111111100…
…001110100001100
32111210210020012101
4321333201310030
53443034024032
6240313444444
733052660120
oct7177416414
92453706171
10972954892
1145a231458
12231a10724
1312675b170
149330b580
155a63cde7
hex39fe1d0c

972954892 has 48 divisors (see below), whose sum is σ = 2116022272. Its totient is φ = 381153600.

The previous prime is 972954889. The next prime is 972954919. The reversal of 972954892 is 298459279.

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, 24517 + ... + 50467.

Almost surely, 2972954892 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 972954892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058011136).

972954892 is an abundant number, since it is smaller than the sum of its proper divisors (1143067380).

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

972954892 is a wasteful number, since it uses less digits than its factorization.

972954892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26078 (or 26076 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 55.

The square root of 972954892 is about 31192.2248645396. The cubic root of 972954892 is about 990.9024495636.

The spelling of 972954892 in words is "nine hundred seventy-two million, nine hundred fifty-four thousand, eight hundred ninety-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 103 182 206 364 412 721 1339 1442 2678 2884 5356 9373 18746 25951 37492 51902 103804 181657 337363 363314 674726 726628 1349452 2361541 2672953 4723082 5345906 9446164 10691812 18710671 34748389 37421342 69496778 74842684 138993556 243238723 486477446 972954892