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661272744 = 233113127163
BaseRepresentation
bin100111011010100…
…011100010101000
31201002022010200010
4213122203202220
52323241211434
6145341211520
722246503606
oct4732434250
91632263603
10661272744
1130a2a9000
12165560ba0
13a6cccc62
1463b76876
153d0c29e9
hex276a38a8

661272744 has 128 divisors (see below), whose sum is σ = 1843937280. Its totient is φ = 197588160.

The previous prime is 661272743. The next prime is 661272797. The reversal of 661272744 is 447272166.

It is not an unprimeable number, because it can be changed into a prime (661272743) 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, 4056807 + ... + 4056969.

It is an arithmetic number, because the mean of its divisors is an integer number (14405760).

Almost surely, 2661272744 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 661272744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921968640).

661272744 is an abundant number, since it is smaller than the sum of its proper divisors (1182664536).

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

661272744 is a wasteful number, since it uses less digits than its factorization.

661272744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 661272744 is about 25715.2239733587. The cubic root of 661272744 is about 871.2180692100.

It can be divided in two parts, 66 and 1272744, that added together give a triangular number (1272810 = T1595).

The spelling of 661272744 in words is "six hundred sixty-one million, two hundred seventy-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 127 132 163 242 254 264 326 363 381 484 489 508 652 726 762 968 978 1016 1304 1331 1397 1452 1524 1793 1956 2662 2794 2904 3048 3586 3912 3993 4191 5324 5379 5588 7172 7986 8382 10648 10758 11176 14344 15367 15972 16764 19723 20701 21516 30734 31944 33528 39446 41402 43032 46101 59169 61468 62103 78892 82804 92202 118338 122936 124206 157784 165608 169037 184404 216953 227711 236676 248412 338074 368808 433906 455422 473352 496824 507111 650859 676148 683133 867812 910844 1014222 1301718 1352296 1366266 1735624 1821688 2028444 2504821 2603436 2732532 4056888 5009642 5206872 5465064 7514463 10019284 15028926 20038568 27553031 30057852 55106062 60115704 82659093 110212124 165318186 220424248 330636372 661272744