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248424660 = 2232511373391
BaseRepresentation
bin11101100111010…
…10100011010100
3122022110021120100
432303222203110
51002044042120
640352334100
76104401101
oct1663524324
9568407510
10248424660
11118258140
126b244330
133c610653
1424dc9aa8
1516c22490
hexecea8d4

248424660 has 144 divisors (see below), whose sum is σ = 844526592. Its totient is φ = 58579200.

The previous prime is 248424647. The next prime is 248424719. The reversal of 248424660 is 66424842.

It is a happy number.

248424660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2484246603 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 71565 + ... + 74955.

It is an arithmetic number, because the mean of its divisors is an integer number (5864768).

Almost surely, 2248424660 is an apocalyptic number.

248424660 is a gapful number since it is divisible by the number (20) 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 248424660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422263296).

248424660 is an abundant number, since it is smaller than the sum of its proper divisors (596101932).

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

248424660 is a wasteful number, since it uses less digits than its factorization.

248424660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 248424660 is about 15761.4929495908. The cubic root of 248424660 is about 628.6345331667.

The spelling of 248424660 in words is "two hundred forty-eight million, four hundred twenty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3391 3663 4070 4884 6105 6660 6782 7326 8140 10173 12210 13564 14652 16955 18315 20346 24420 30519 33910 36630 37301 40692 50865 61038 67820 73260 74602 101730 111903 122076 125467 149204 152595 186505 203460 223806 250934 305190 335709 373010 376401 447612 501868 559515 610380 627335 671418 746020 752802 1119030 1129203 1254670 1342836 1380137 1505604 1678545 1882005 2238060 2258406 2509340 2760274 3357090 3764010 4140411 4516812 5520548 5646015 6714180 6900685 7528020 8280822 11292030 12421233 13801370 16561644 20702055 22584060 24842466 27602740 41404110 49684932 62106165 82808220 124212330 248424660