Search a number
-
+
412113548 = 227112923743
BaseRepresentation
bin11000100100000…
…101101010001100
31001201110112111202
4120210011222030
51321000113143
6104521005032
713132623140
oct3044055214
91051415452
10412113548
111a169a010
12b6023778
13674c3192
143ca39220
15262a7ab8
hex18905a8c

412113548 has 144 divisors (see below), whose sum is σ = 978641664. Its totient is φ = 147329280.

The previous prime is 412113529. The next prime is 412113551. The reversal of 412113548 is 845311214.

It is a Harshad number since it is a multiple of its sum of digits (29).

Its product of digits (3840) is a multiple of the sum of its prime factors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 412113548.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9584015 + ... + 9584057.

Almost surely, 2412113548 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 412113548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489320832).

412113548 is an abundant number, since it is smaller than the sum of its proper divisors (566528116).

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

412113548 is a wasteful number, since it uses less digits than its factorization.

412113548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 412113548 is about 20300.5799917145. The cubic root of 412113548 is about 744.1702384363.

The spelling of 412113548 in words is "four hundred twelve million, one hundred thirteen thousand, five hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 29 37 43 44 58 74 77 86 116 148 154 172 203 259 301 308 319 406 407 473 518 602 638 812 814 841 946 1036 1073 1204 1247 1276 1591 1628 1682 1892 2146 2233 2494 2849 3182 3311 3364 4292 4466 4988 5698 5887 6364 6622 7511 8729 8932 9251 11137 11396 11774 11803 13244 13717 15022 17458 17501 18502 22274 23548 23606 27434 30044 31117 34916 35002 36163 37004 44548 46139 47212 54868 62234 64757 70004 72326 82621 92278 96019 122507 124468 129514 144652 165242 184556 192038 217819 245014 253141 259028 322973 330484 342287 384076 397793 435638 490028 506282 507529 645946 684574 795586 871276 1012564 1015058 1291892 1338031 1369148 1591172 2030116 2396009 2676062 2784551 3552703 4792018 5352124 5569102 7105406 9366217 9584036 11138204 14210812 14718341 18732434 29436682 37464868 58873364 103028387 206056774 412113548