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413211204 = 2232713112517
BaseRepresentation
bin11000101000010…
…001101001000100
31001210112022012200
4120220101221010
51321240224304
6105000314500
713145144250
oct3050215104
91053468180
10413211204
111a227976a
12b6472a30
13677b8993
143cc43260
1526422e39
hex18a11a44

413211204 has 72 divisors (see below), whose sum is σ = 1202929728. Its totient is φ = 117149760.

The previous prime is 413211203. The next prime is 413211229. The reversal of 413211204 is 402112314.

It is a super-2 number, since 2×4132112042 = 341486998222259232, which contains 22 as substring.

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 (413211203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26754 + ... + 39270.

Almost surely, 2413211204 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 413211204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601464864).

413211204 is an abundant number, since it is smaller than the sum of its proper divisors (789718524).

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

413211204 is a wasteful number, since it uses less digits than its factorization.

413211204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12665 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 413211204 is about 20327.5971034454. The cubic root of 413211204 is about 744.8303467872.

Adding to 413211204 its reverse (402112314), we get a palindrome (815323518).

The spelling of 413211204 in words is "four hundred thirteen million, two hundred eleven thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1572 1834 2358 2751 3668 4716 5502 8253 11004 12517 16506 25034 33012 37551 50068 75102 87619 112653 150204 175238 225306 262857 350476 450612 525714 788571 1051428 1577142 1639727 3154284 3279454 4919181 6558908 9838362 11478089 14757543 19676724 22956178 29515086 34434267 45912356 59030172 68868534 103302801 137737068 206605602 413211204