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47728016 = 2471313253
BaseRepresentation
bin1011011000010…
…0010110010000
310022210211112022
42312010112100
544204244031
64422551012
71116452510
oct266042620
9108724468
1047728016
1124a39846
1213b98468
139b7123b
1464a5840
1542cb97b
hex2d84590

47728016 has 40 divisors (see below), whose sum is σ = 106522944. Its totient is φ = 20292480.

The previous prime is 47728001. The next prime is 47728049. The reversal of 47728016 is 61082774.

It is a happy number.

It is a super-2 number, since 2×477280162 = 4555927022592512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13046 + ... + 16298.

Almost surely, 247728016 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 47728016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53261472).

47728016 is an abundant number, since it is smaller than the sum of its proper divisors (58794928).

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

47728016 is a wasteful number, since it uses less digits than its factorization.

47728016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 47728016 is about 6908.5465909987. The cubic root of 47728016 is about 362.7363905617.

The spelling of 47728016 in words is "forty-seven million, seven hundred twenty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 1048 1834 2096 3253 3668 6506 7336 13012 14672 22771 26024 45542 52048 91084 182168 364336 426143 852286 1704572 2983001 3409144 5966002 6818288 11932004 23864008 47728016