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412056828 = 223389163263
BaseRepresentation
bin11000100011110…
…111110011111100
31001201100122201000
4120203313303330
51320441304303
6104515450300
713132265601
oct3043676374
91051318630
10412056828
111a1660437
12b5bb6990
13674a3411
143ca226a8
1526295da3
hex188f7cfc

412056828 has 96 divisors (see below), whose sum is σ = 1091059200. Its totient is φ = 134462592.

The previous prime is 412056797. The next prime is 412056839. The reversal of 412056828 is 828650214.

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

It is a junction number, because it is equal to n+sod(n) for n = 412056792 and 412056801.

It is a congruent number.

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, 1566625 + ... + 1566887.

It is an arithmetic number, because the mean of its divisors is an integer number (11365200).

Almost surely, 2412056828 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 412056828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545529600).

412056828 is an abundant number, since it is smaller than the sum of its proper divisors (679002372).

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

412056828 is a wasteful number, since it uses less digits than its factorization.

412056828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 412056828 is about 20299.1829392220. The cubic root of 412056828 is about 744.1360963309.

The spelling of 412056828 in words is "four hundred twelve million, fifty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 163 178 263 267 326 356 489 526 534 652 789 801 978 1052 1068 1467 1578 1602 1956 2367 2403 2934 3156 3204 4401 4734 4806 5868 7101 8802 9468 9612 14202 14507 17604 23407 28404 29014 42869 43521 46814 58028 70221 85738 87042 93628 128607 130563 140442 171476 174084 210663 257214 261126 280884 385821 391689 421326 514428 522252 631989 771642 783378 842652 1157463 1263978 1543284 1566756 2314926 2527956 3815341 4629852 7630682 11446023 15261364 22892046 34338069 45784092 68676138 103014207 137352276 206028414 412056828