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413544216 = 23331599421
BaseRepresentation
bin11000101001100…
…010111100011000
31001211011020000110
4120221202330120
51321331403331
6105011404320
713151032161
oct3051427430
91054136013
10413544216
111a2486988
12b65b36a0
13678a4427
143cccc768
152648b946
hex18a62f18

413544216 has 64 divisors (see below), whose sum is σ = 1085414400. Its totient is φ = 131126400.

The previous prime is 413544127. The next prime is 413544233. The reversal of 413544216 is 612445314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39186 + ... + 48606.

It is an arithmetic number, because the mean of its divisors is an integer number (16959600).

Almost surely, 2413544216 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 413544216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542707200).

413544216 is an abundant number, since it is smaller than the sum of its proper divisors (671870184).

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

413544216 is a wasteful number, since it uses less digits than its factorization.

413544216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520 (or 9516 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 413544216 is about 20335.7865842460. The cubic root of 413544216 is about 745.0303823773.

The spelling of 413544216 in words is "four hundred thirteen million, five hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 59 62 93 118 124 177 186 236 248 354 372 472 708 744 1416 1829 3658 5487 7316 9421 10974 14632 18842 21948 28263 37684 43896 56526 75368 113052 226104 292051 555839 584102 876153 1111678 1168204 1667517 1752306 2223356 2336408 3335034 3504612 4446712 6670068 7009224 13340136 17231009 34462018 51693027 68924036 103386054 137848072 206772108 413544216