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488679348 = 2231722943113
BaseRepresentation
bin11101001000001…
…010011110110100
31021001112111001010
4131020022132310
52000100214343
6120254032220
715052464063
oct3510123664
91231474033
10488679348
11230935033
121177a8670
137a3203a1
1448c8a1da
152cd7dd33
hex1d20a7b4

488679348 has 144 divisors (see below), whose sum is σ = 1293526080. Its totient is φ = 143302656.

The previous prime is 488679293. The next prime is 488679353. The reversal of 488679348 is 843976884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4324540 + ... + 4324652.

It is an arithmetic number, because the mean of its divisors is an integer number (8982820).

Almost surely, 2488679348 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 488679348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646763040).

488679348 is an abundant number, since it is smaller than the sum of its proper divisors (804846732).

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

488679348 is a wasteful number, since it uses less digits than its factorization.

488679348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The square root of 488679348 is about 22106.0930062279. The cubic root of 488679348 is about 787.6646021258.

The spelling of 488679348 in words is "four hundred eighty-eight million, six hundred seventy-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 29 34 43 51 58 68 86 87 102 113 116 129 172 174 204 226 258 289 339 348 452 493 516 578 678 731 867 986 1156 1247 1356 1462 1479 1734 1921 1972 2193 2494 2924 2958 3277 3468 3741 3842 4386 4859 4988 5763 5916 6554 7482 7684 8381 8772 9718 9831 11526 12427 13108 14577 14964 16762 19436 19662 21199 23052 24854 25143 29154 32657 33524 37281 39324 42398 49708 50286 55709 58308 63597 65314 74562 82603 84796 97971 100572 111418 127194 130628 140911 149124 165206 167127 195942 222836 247809 254388 281822 330412 334254 360383 391884 422733 495618 563644 668508 720766 845466 947053 991236 1081149 1404251 1441532 1690932 1894106 2162298 2395487 2808502 2841159 3788212 4212753 4324596 4790974 5617004 5682318 7186461 8425506 9581948 11364636 14372922 16851012 28745844 40723279 81446558 122169837 162893116 244339674 488679348