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426615552 = 28331131181
BaseRepresentation
bin11001011011011…
…010001100000000
31002201202022112000
4121123122030000
51333203144202
6110155504000
713400113056
oct3133321400
91081668460
10426615552
111a98a4640
12baa58000
136a4ccc4c
14409321d6
15276be91c
hex196da300

426615552 has 288 divisors, whose sum is σ = 1428510720. Its totient is φ = 124416000.

The previous prime is 426615509. The next prime is 426615589. The reversal of 426615552 is 255516624.

426615552 is a `hidden beast` number, since 42 + 6 + 61 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2356902 + ... + 2357082.

Almost surely, 2426615552 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 426615552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714255360).

426615552 is an abundant number, since it is smaller than the sum of its proper divisors (1001895168).

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

426615552 is a wasteful number, since it uses less digits than its factorization.

426615552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 426615552 is about 20654.6738536342. The cubic root of 426615552 is about 752.7987589399.

The spelling of 426615552 in words is "four hundred twenty-six million, six hundred fifteen thousand, five hundred fifty-two".