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405241056 = 25341161233
BaseRepresentation
bin11000001001110…
…111110011100000
31001020112101020000
4120021313303200
51312220203211
6104113420000
713020330543
oct3011676340
91036471200
10405241056
11198825670
12b386a600
1365c5800c
143bb6a85a
152589b656
hex18277ce0

405241056 has 240 divisors, whose sum is σ = 1327133808. Its totient is φ = 120268800.

The previous prime is 405241043. The next prime is 405241061. The reversal of 405241056 is 650142504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1739116 + ... + 1739348.

Almost surely, 2405241056 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 405241056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663566904).

405241056 is an abundant number, since it is smaller than the sum of its proper divisors (921892752).

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

405241056 is a wasteful number, since it uses less digits than its factorization.

405241056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 405241056 is about 20130.5999910584. The cubic root of 405241056 is about 740.0103821285.

The spelling of 405241056 in words is "four hundred five million, two hundred forty-one thousand, fifty-six".