Search a number
-
+
47701332 = 2233763097
BaseRepresentation
bin1011010111110…
…1110101010100
310022202110221000
42311331311110
544202420312
64422223300
71116311640
oct265756524
9108673830
1047701332
1124a20798
1213b84b30
139b62053
146499c20
1542c3adc
hex2d7dd54

47701332 has 48 divisors (see below), whose sum is σ = 141339520. Its totient is φ = 13628736.

The previous prime is 47701331. The next prime is 47701361. The reversal of 47701332 is 23310774.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 47701296 and 47701305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47701331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30793 + ... + 32304.

Almost surely, 247701332 is an apocalyptic number.

47701332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

47701332 is an abundant number, since it is smaller than the sum of its proper divisors (93638188).

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

47701332 is a wasteful number, since it uses less digits than its factorization.

47701332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63117 (or 63109 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 47701332 is about 6906.6150898975. The cubic root of 47701332 is about 362.6687778466.

The spelling of 47701332 in words is "forty-seven million, seven hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 63097 126194 189291 252388 378582 441679 567873 757164 883358 1135746 1325037 1703619 1766716 2271492 2650074 3407238 3975111 5300148 6814476 7950222 11925333 15900444 23850666 47701332