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954989472 = 253312231439
BaseRepresentation
bin111000111010111…
…111101110100000
32110112222111021110
4320322333232200
53423434130342
6234432423320
732444163603
oct7072775640
92415874243
10954989472
114500807a8
122279a7b40
13122b0ab38
1490b9233a
1558c8ec9c
hex38ebfba0

954989472 has 96 divisors (see below), whose sum is σ = 2601123840. Its totient is φ = 306466560.

The previous prime is 954989449. The next prime is 954989473. The reversal of 954989472 is 274989459.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (954989473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662929 + ... + 664367.

It is an arithmetic number, because the mean of its divisors is an integer number (27095040).

Almost surely, 2954989472 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 954989472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300561920).

954989472 is an abundant number, since it is smaller than the sum of its proper divisors (1646134368).

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

954989472 is a wasteful number, since it uses less digits than its factorization.

954989472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1698 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The square root of 954989472 is about 30902.9039412156. The cubic root of 954989472 is about 984.7655817396.

The spelling of 954989472 in words is "nine hundred fifty-four million, nine hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 223 248 372 446 496 669 744 892 992 1338 1439 1488 1784 2676 2878 2976 3568 4317 5352 5756 6913 7136 8634 10704 11512 13826 17268 20739 21408 23024 27652 34536 41478 44609 46048 55304 69072 82956 89218 110608 133827 138144 165912 178436 221216 267654 320897 331824 356872 535308 641794 663648 713744 962691 1070616 1283588 1427488 1925382 2141232 2567176 3850764 4282464 5134352 7701528 9947807 10268704 15403056 19895614 29843421 30806112 39791228 59686842 79582456 119373684 159164912 238747368 318329824 477494736 954989472