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489479364 = 2232112373037
BaseRepresentation
bin11101001011001…
…101110011000100
31021010001010110100
4131023031303010
52000301314424
6120323124100
715062335353
oct3513156304
91233033410
10489479364
11231331100
12117b13630
137a54057a
144901799a
152ce8adc9
hex1d2cdcc4

489479364 has 108 divisors (see below), whose sum is σ = 1397218732. Its totient is φ = 144270720.

The previous prime is 489479359. The next prime is 489479423. The reversal of 489479364 is 463974984.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 426752964 + 62726400 = 20658^2 + 7920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 489479364.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159654 + ... + 162690.

Almost surely, 2489479364 is an apocalyptic number.

489479364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489479364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698609366).

489479364 is an abundant number, since it is smaller than the sum of its proper divisors (907739368).

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

489479364 is a wasteful number, since it uses less digits than its factorization.

489479364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3090 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 489479364 is about 22124.1805271969. The cubic root of 489479364 is about 788.0941958393.

It can be divided in two parts, 48947 and 9364, that added together give a triangular number (58311 = T341).

The spelling of 489479364 in words is "four hundred eighty-nine million, four hundred seventy-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 121 132 148 198 222 242 333 363 396 407 444 484 666 726 814 1089 1221 1332 1452 1628 2178 2442 3037 3663 4356 4477 4884 6074 7326 8954 9111 12148 13431 14652 17908 18222 26862 27333 33407 36444 40293 53724 54666 66814 80586 100221 109332 112369 133628 161172 200442 224738 300663 337107 367477 400884 449476 601326 674214 734954 1011321 1102431 1202652 1236059 1348428 1469908 2022642 2204862 2472118 3307293 3708177 4045284 4409724 4944236 6614586 7416354 11124531 13229172 13596649 14832708 22249062 27193298 40789947 44498124 54386596 81579894 122369841 163159788 244739682 489479364