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48901216 = 2572132399
BaseRepresentation
bin1011101010001…
…0110001100000
310102000102212011
42322202301200
5100004314331
64504042304
71132440100
oct272426140
9112012764
1048901216
1125670231
1214463394
13a192240
1466cd200
15445e3b1
hex2ea2c60

48901216 has 72 divisors (see below), whose sum is σ = 120657600. Its totient is φ = 19337472.

The previous prime is 48901213. The next prime is 48901217. The reversal of 48901216 is 61210984.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48901213) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19185 + ... + 21583.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 248901216 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 48901216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60328800).

48901216 is an abundant number, since it is smaller than the sum of its proper divisors (71756384).

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

48901216 is a wasteful number, since it uses less digits than its factorization.

48901216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 48901216 is about 6992.9404401868. The cubic root of 48901216 is about 365.6845002249.

The spelling of 48901216 in words is "forty-eight million, nine hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2399 2548 2912 4798 5096 9596 10192 16793 19192 20384 31187 33586 38384 62374 67172 76768 117551 124748 134344 218309 235102 249496 268688 436618 470204 498992 537376 873236 940408 997984 1528163 1746472 1880816 3056326 3492944 3761632 6112652 6985888 12225304 24450608 48901216