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63216272 = 247311519
BaseRepresentation
bin1111000100100…
…1101010010000
311101221201102102
43301021222100
5112140410042
610134535532
71365221000
oct361115220
9141851372
1063216272
1132758359
12192075a8
1310134ba2
148578000
15583ab32
hex3c49a90

63216272 has 40 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 27090336.

The previous prime is 63216271. The next prime is 63216281. The reversal of 63216272 is 27261236.

It is not an unprimeable number, because it can be changed into a prime (63216271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272 + ... + 11247.

It is an arithmetic number, because the mean of its divisors is an integer number (3571200).

Almost surely, 263216272 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 63216272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

63216272 is an abundant number, since it is smaller than the sum of its proper divisors (79631728).

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

63216272 is a wasteful number, since it uses less digits than its factorization.

63216272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11548 (or 11528 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 63216272 is about 7950.8661163423. The cubic root of 63216272 is about 398.3605228003.

The spelling of 63216272 in words is "sixty-three million, two hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 11519 23038 46076 80633 92152 161266 184304 322532 564431 645064 1128862 1290128 2257724 3951017 4515448 7902034 9030896 15804068 31608136 63216272