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56033408 = 27974513
BaseRepresentation
bin1101010111000…
…0000010000000
310220102210101102
43111300002000
5103321032113
65320553532
71250163464
oct325600200
9126383342
1056033408
11296a1802
12169228a8
13b7bb682
1476284a4
154dbc758
hex3570080

56033408 has 32 divisors (see below), whose sum is σ = 112804860. Its totient is φ = 27721728.

The previous prime is 56033401. The next prime is 56033459. The reversal of 56033408 is 80433065.

It can be written as a sum of positive squares in 2 ways, for example, as 47224384 + 8809024 = 6872^2 + 2968^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (56033401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10160 + ... + 14672.

Almost surely, 256033408 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 56033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56402430).

56033408 is an abundant number, since it is smaller than the sum of its proper divisors (56771452).

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

56033408 is an equidigital number, since it uses as much as digits as its factorization.

56033408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 56033408 is about 7485.5466066280. The cubic root of 56033408 is about 382.6623014363.

The spelling of 56033408 in words is "fifty-six million, thirty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 4513 6208 9026 12416 18052 36104 72208 144416 288832 437761 577664 875522 1751044 3502088 7004176 14008352 28016704 56033408