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49963248 = 2432438069
BaseRepresentation
bin1011111010011…
…0000011110000
310111000101200200
42332212003300
5100242310443
64542515200
71144452306
oct276460360
9114011620
1049963248
1126226145
1214895b00
13a47476a
1468c8276
1545bddd3
hex2fa60f0

49963248 has 60 divisors (see below), whose sum is σ = 143097240. Its totient is φ = 16265088.

The previous prime is 49963241. The next prime is 49963271. The reversal of 49963248 is 84236994.

49963248 is a `hidden beast` number, since 4 + 9 + 9 + 632 + 4 + 8 = 666.

49963248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49963241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2158 + ... + 10226.

It is an arithmetic number, because the mean of its divisors is an integer number (2384954).

Almost surely, 249963248 is an apocalyptic number.

49963248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49963248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71548620).

49963248 is an abundant number, since it is smaller than the sum of its proper divisors (93133992).

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

49963248 is a wasteful number, since it uses less digits than its factorization.

49963248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126 (or 8117 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 49963248 is about 7068.4685752997. The cubic root of 49963248 is about 368.3128640554.

The spelling of 49963248 in words is "forty-nine million, nine hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 8069 16138 24207 32276 48414 64552 72621 96828 129104 145242 193656 290484 346967 387312 580968 693934 1040901 1161936 1387868 2081802 2775736 3122703 4163604 5551472 6245406 8327208 12490812 16654416 24981624 49963248