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47000016 = 2432726661
BaseRepresentation
bin1011001101001…
…0100111010000
310021102211220100
42303102213100
544013000031
64355212400
71110331200
oct263224720
9107384810
1047000016
1124591898
12138a7100
139977a7b
146356400
1541d5de6
hex2cd29d0

47000016 has 90 divisors (see below), whose sum is σ = 153032802. Its totient is φ = 13426560.

The previous prime is 47000011. The next prime is 47000059. The reversal of 47000016 is 61000074.

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 705600 = 6804^2 + 840^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47000011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3726 + ... + 10386.

Almost surely, 247000016 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 47000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76516401).

47000016 is an abundant number, since it is smaller than the sum of its proper divisors (106032786).

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

47000016 is a wasteful number, since it uses less digits than its factorization.

47000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6689 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 47000016 is about 6855.6557673209. The cubic root of 47000016 is about 360.8826489651.

The spelling of 47000016 in words is "forty-seven million, sixteen", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 6661 7056 13322 19983 26644 39966 46627 53288 59949 79932 93254 106576 119898 139881 159864 186508 239796 279762 319728 326389 373016 419643 479592 559524 652778 746032 839286 959184 979167 1119048 1305556 1678572 1958334 2238096 2611112 2937501 3357144 3916668 5222224 5875002 6714288 7833336 11750004 15666672 23500008 47000016