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401482380 = 2235132917749
BaseRepresentation
bin10111111011100…
…010001010001100
31000222110102021210
4113323202022030
51310234414010
6103501054420
712643354365
oct2773421214
91028412253
10401482380
11196698722
12b2557410
1365240250
143b46cb6c
15253a7b20
hex17ee228c

401482380 has 96 divisors (see below), whose sum is σ = 1252440000. Its totient is φ = 95413248.

The previous prime is 401482349. The next prime is 401482391. The reversal of 401482380 is 83284104.

It is a super-4 number, since 4×4014823804 (a number of 36 digits) contains 4444 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13746 + ... + 31494.

It is an arithmetic number, because the mean of its divisors is an integer number (13046250).

Almost surely, 2401482380 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 401482380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626220000).

401482380 is an abundant number, since it is smaller than the sum of its proper divisors (850957620).

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

401482380 is a wasteful number, since it uses less digits than its factorization.

401482380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17803 (or 17801 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 401482380 is about 20037.0252283117. The cubic root of 401482380 is about 737.7153667677.

The spelling of 401482380 in words is "four hundred one million, four hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 580 754 780 870 1131 1508 1740 1885 2262 3770 4524 5655 7540 11310 17749 22620 35498 53247 70996 88745 106494 177490 212988 230737 266235 354980 461474 514721 532470 692211 922948 1029442 1064940 1153685 1384422 1544163 2058884 2307370 2573605 2768844 3088326 3461055 4614740 5147210 6176652 6691373 6922110 7720815 10294420 13382746 13844220 15441630 20074119 26765492 30883260 33456865 40148238 66913730 80296476 100370595 133827460 200741190 401482380