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55065408 = 263594861
BaseRepresentation
bin1101001000001…
…1101101000000
310211121121112120
43102003231000
5103044043113
65244124240
71236022356
oct322035500
9124547476
1055065408
11290a0502
1216536680
13b53cba8
1474557d6
154c7aa23
hex3483b40

55065408 has 56 divisors (see below), whose sum is σ = 148193760. Its totient is φ = 18040320.

The previous prime is 55065407. The next prime is 55065421. The reversal of 55065408 is 80456055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55065407) 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, 8898 + ... + 13758.

Almost surely, 255065408 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 55065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74096880).

55065408 is an abundant number, since it is smaller than the sum of its proper divisors (93128352).

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

55065408 is a wasteful number, since it uses less digits than its factorization.

55065408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 55065408 is about 7420.6069832595. The cubic root of 55065408 is about 380.4459400002.

The spelling of 55065408 in words is "fifty-five million, sixty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 4861 5664 9722 11328 14583 19444 29166 38888 58332 77776 116664 155552 233328 286799 311104 466656 573598 860397 933312 1147196 1720794 2294392 3441588 4588784 6883176 9177568 13766352 18355136 27532704 55065408