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48335616 = 2836737
BaseRepresentation
bin1011100001100…
…0101100000000
310100221201000000
42320120230000
544333214431
64444000000
71124563110
oct270305400
9110851000
1048335616
112531429a
1214230000
13a024974
1465c3040
15439b9e6
hex2e18b00

48335616 has 252 divisors, whose sum is σ = 169790992. Its totient is φ = 13436928.

The previous prime is 48335611. The next prime is 48335621. The reversal of 48335616 is 61653384.

48335616 is a `hidden beast` number, since 4 + 8 + 3 + 35 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (48335611) and next prime (48335621).

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (48335611) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306350 + ... + 1306386.

Almost surely, 248335616 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 48335616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84895496).

48335616 is an abundant number, since it is smaller than the sum of its proper divisors (121455376).

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

48335616 is an frugal number, since it uses more digits than its factorization.

48335616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 48335616 is about 6952.3820378342. The cubic root of 48335616 is about 364.2691725558.

The spelling of 48335616 in words is "forty-eight million, three hundred thirty-five thousand, six hundred sixteen".