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488070 = 2325111729
BaseRepresentation
bin1110111001010000110
3220210111200
41313022012
5111104240
614243330
74101642
oct1671206
9823450
10488070
11303770
121b6546
131411cb
14c9c22
1599930
hex77286

488070 has 96 divisors (see below), whose sum is σ = 1516320. Its totient is φ = 107520.

The previous prime is 488069. The next prime is 488119. The reversal of 488070 is 70884.

It is a happy number.

488070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 488070.

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, 16816 + ... + 16844.

It is an arithmetic number, because the mean of its divisors is an integer number (15795).

2488070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758160).

488070 is an abundant number, since it is smaller than the sum of its proper divisors (1028250).

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

488070 is a wasteful number, since it uses less digits than its factorization.

488070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 488070 is about 698.6200684206. The cubic root of 488070 is about 78.7337078919.

It can be divided in two parts, 4880 and 70, that added together give a triangular number (4950 = T99).

The spelling of 488070 in words is "four hundred eighty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 29 30 33 34 45 51 55 58 66 85 87 90 99 102 110 145 153 165 170 174 187 198 255 261 290 306 319 330 374 435 493 495 510 522 561 638 765 870 935 957 986 990 1122 1305 1479 1530 1595 1683 1870 1914 2465 2610 2805 2871 2958 3190 3366 4437 4785 4930 5423 5610 5742 7395 8415 8874 9570 10846 14355 14790 16269 16830 22185 27115 28710 32538 44370 48807 54230 81345 97614 162690 244035 488070