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410042412 = 223413671453
BaseRepresentation
bin11000011100001…
…100000000101100
31001120120022110000
4120130030000230
51314432324122
6104404344300
713106205633
oct3034140054
91046508400
10410042412
111a0504a2a
12b53a5090
1366c49560
143c65a51a
1525ee90ac
hex1870c02c

410042412 has 120 divisors (see below), whose sum is σ = 1172424176. Its totient is φ = 124198272.

The previous prime is 410042383. The next prime is 410042417. The reversal of 410042412 is 214240014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (410042417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281478 + ... + 282930.

Almost surely, 2410042412 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 410042412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586212088).

410042412 is an abundant number, since it is smaller than the sum of its proper divisors (762381764).

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

410042412 is a wasteful number, since it uses less digits than its factorization.

410042412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 410042412 is about 20249.5039939254. The cubic root of 410042412 is about 742.9214992779.

Adding to 410042412 its reverse (214240014), we get a palindrome (624282426).

The spelling of 410042412 in words is "four hundred ten million, forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 81 108 117 134 156 162 201 234 268 324 351 402 468 603 702 804 871 1053 1206 1404 1453 1742 1809 2106 2412 2613 2906 3484 3618 4212 4359 5226 5427 5812 7236 7839 8718 10452 10854 13077 15678 17436 18889 21708 23517 26154 31356 37778 39231 47034 52308 56667 70551 75556 78462 94068 97351 113334 117693 141102 156924 170001 194702 226668 235386 282204 292053 340002 389404 470772 510003 584106 680004 876159 1020006 1168212 1265563 1530009 1752318 2040012 2531126 2628477 3060018 3504636 3796689 5062252 5256954 6120036 7593378 7885431 10513908 11390067 15186756 15770862 22780134 31541724 34170201 45560268 68340402 102510603 136680804 205021206 410042412