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488726268 = 2231719712161
BaseRepresentation
bin11101001000010…
…101111011111100
31021001121212101220
4131020111323330
52000103220033
6120255033340
715053050632
oct3510257374
91231555356
10488726268
11230967308
1211780b850
137a338854
1448c9d352
152cd8cbb3
hex1d215efc

488726268 has 48 divisors (see below), whose sum is σ = 1213670304. Its totient is φ = 152535040.

The previous prime is 488726267. The next prime is 488726269. The reversal of 488726268 is 862627884.

It is an interprime number because it is at equal distance from previous prime (488726267) and next prime (488726269).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 488726268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488726263) by changing a digit.

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, 34108 + ... + 46268.

It is an arithmetic number, because the mean of its divisors is an integer number (25284798).

Almost surely, 2488726268 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 488726268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606835152).

488726268 is an abundant number, since it is smaller than the sum of its proper divisors (724944036).

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

488726268 is a wasteful number, since it uses less digits than its factorization.

488726268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12382 (or 12380 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 488726268 is about 22107.1542266299. The cubic root of 488726268 is about 787.6898102305.

The spelling of 488726268 in words is "four hundred eighty-eight million, seven hundred twenty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 197 204 394 591 788 1182 2364 3349 6698 10047 12161 13396 20094 24322 36483 40188 48644 72966 145932 206737 413474 620211 826948 1240422 2395717 2480844 4791434 7187151 9582868 14374302 28748604 40727189 81454378 122181567 162908756 244363134 488726268