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413608 = 23134197
BaseRepresentation
bin1100100111110101000
3210000100211
41210332220
5101213413
612510504
73341566
oct1447650
9700324
10413608
11262828
1217b434
13116350
14aaa36
158283d
hex64fa8

413608 has 32 divisors (see below), whose sum is σ = 864360. Its totient is φ = 184320.

The previous prime is 413597. The next prime is 413629. The reversal of 413608 is 806314.

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 252004 = 402^2 + 502^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4216 + ... + 4312.

2413608 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 413608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432180).

413608 is an abundant number, since it is smaller than the sum of its proper divisors (450752).

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

413608 is a wasteful number, since it uses less digits than its factorization.

413608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 413608 is about 643.1236273066. The cubic root of 413608 is about 74.5068684267.

The spelling of 413608 in words is "four hundred thirteen thousand, six hundred eight".

Divisors: 1 2 4 8 13 26 41 52 82 97 104 164 194 328 388 533 776 1066 1261 2132 2522 3977 4264 5044 7954 10088 15908 31816 51701 103402 206804 413608