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413870592 = 2932111277
BaseRepresentation
bin11000101010110…
…010101000000000
31001211202210201110
4120222302220000
51321422324332
6105022403320
713153561542
oct3052625000
91054683643
10413870592
111a268a113
12b6730540
1367989b55
143cd75692
15265034cc
hex18ab2a00

413870592 has 80 divisors (see below), whose sum is σ = 1108670112. Its totient is φ = 137195520.

The previous prime is 413870581. The next prime is 413870599. The reversal of 413870592 is 295078314.

It is a self number, because there is not a number n which added to its sum of digits gives 413870592.

It is not an unprimeable number, because it can be changed into a prime (413870599) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323458 + ... + 324734.

Almost surely, 2413870592 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 413870592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554335056).

413870592 is an abundant number, since it is smaller than the sum of its proper divisors (694799520).

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

413870592 is a wasteful number, since it uses less digits than its factorization.

413870592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 413870592 is about 20343.8096727235. The cubic root of 413870592 is about 745.2263276443.

The spelling of 413870592 in words is "four hundred thirteen million, eight hundred seventy thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 256 384 422 512 633 768 844 1266 1277 1536 1688 2532 2554 3376 3831 5064 5108 6752 7662 10128 10216 13504 15324 20256 20432 27008 30648 40512 40864 54016 61296 81024 81728 108032 122592 162048 163456 245184 269447 324096 326912 490368 538894 653824 808341 980736 1077788 1616682 1961472 2155576 3233364 4311152 6466728 8622304 12933456 17244608 25866912 34489216 51733824 68978432 103467648 137956864 206935296 413870592