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49466016 = 2532171757
BaseRepresentation
bin1011110010110…
…0101010100000
310110002010121200
42330230222200
5100130403031
64524121200
71140311535
oct274545240
9113063550
1049466016
1125a16606
1214696200
13a32c342
1467d8d8c
1545218e6
hex2f2caa0

49466016 has 36 divisors (see below), whose sum is σ = 140669802. Its totient is φ = 16488576.

The previous prime is 49466009. The next prime is 49466017. The reversal of 49466016 is 61066494.

49466016 is a `hidden beast` number, since 4 + 9 + 46 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26998416 + 22467600 = 5196^2 + 4740^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49466017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85591 + ... + 86166.

Almost surely, 249466016 is an apocalyptic number.

It is an amenable number.

49466016 is an abundant number, since it is smaller than the sum of its proper divisors (91203786).

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

49466016 is a wasteful number, since it uses less digits than its factorization.

49466016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171773 (or 171762 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49466016 is about 7033.2080873525. The cubic root of 49466016 is about 367.0869773335.

The spelling of 49466016 in words is "forty-nine million, four hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 171757 343514 515271 687028 1030542 1374056 1545813 2061084 2748112 3091626 4122168 5496224 6183252 8244336 12366504 16488672 24733008 49466016