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542032896 = 21031797107
BaseRepresentation
bin100000010011101…
…100010000000000
31101202221010100110
4200103230100000
52102230023041
6125441351320
716301126556
oct4023542000
91352833313
10542032896
11258a66379
12131638540
13883b1032
1451db7bd6
15328bc516
hex204ec400

542032896 has 176 divisors, whose sum is σ = 1559912256. Its totient is φ = 166723584.

The previous prime is 542032849. The next prime is 542032901. The reversal of 542032896 is 698230245.

It is a happy number.

It is a super-2 number, since 2×5420328962 = 587599320692293632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5065675 + ... + 5065781.

Almost surely, 2542032896 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 542032896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779956128).

542032896 is an abundant number, since it is smaller than the sum of its proper divisors (1017879360).

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

542032896 is a wasteful number, since it uses less digits than its factorization.

542032896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 542032896 is about 23281.5999450210. The cubic root of 542032896 is about 815.3458810164.

The spelling of 542032896 in words is "five hundred forty-two million, thirty-two thousand, eight hundred ninety-six".