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48969216 = 293210627
BaseRepresentation
bin1011101011001…
…1011000000000
310102010220010200
42322303120000
5100014003331
64505325200
71133142252
oct272633000
9112126120
1048969216
112570732a
1214496800
13a1b718a
146709cd2
1544745e6
hex2eb3600

48969216 has 60 divisors (see below), whose sum is σ = 141341772. Its totient is φ = 16321536.

The previous prime is 48969199. The next prime is 48969229. The reversal of 48969216 is 61296984.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 706 + ... + 9921.

Almost surely, 248969216 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 48969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70670886).

48969216 is an abundant number, since it is smaller than the sum of its proper divisors (92372556).

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

48969216 is a wasteful number, since it uses less digits than its factorization.

48969216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10651 (or 10632 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 48969216 is about 6997.8007973934. The cubic root of 48969216 is about 365.8539236109.

The spelling of 48969216 in words is "forty-eight million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 10627 21254 31881 42508 63762 85016 95643 127524 170032 191286 255048 340064 382572 510096 680128 765144 1020192 1360256 1530288 2040384 2720512 3060576 4080768 5441024 6121152 8161536 12242304 16323072 24484608 48969216