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47000272 = 241132207
BaseRepresentation
bin1011001101001…
…0101011010000
310021102212020211
42303102223100
544013002042
64355213504
71110332014
oct263225320
9107385224
1047000272
1124592000
12138a7294
139977c17
146356544
1541d6017
hex2cd2ad0

47000272 has 40 divisors (see below), whose sum is σ = 100207872. Its totient is φ = 21354080.

The previous prime is 47000269. The next prime is 47000297. The reversal of 47000272 is 27200074.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 20193 + ... + 22399.

Almost surely, 247000272 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 47000272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50103936).

47000272 is an abundant number, since it is smaller than the sum of its proper divisors (53207600).

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

47000272 is a wasteful number, since it uses less digits than its factorization.

47000272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 47000272 is about 6855.6744380112. The cubic root of 47000272 is about 360.8833041832.

It can be divided in two parts, 470002 and 72, that added together give a palindrome (470074).

The spelling of 47000272 in words is "forty-seven million, two hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2207 2662 4414 5324 8828 10648 17656 21296 24277 35312 48554 97108 194216 267047 388432 534094 1068188 2136376 2937517 4272752 5875034 11750068 23500136 47000272