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48309248 = 2101319191
BaseRepresentation
bin1011100001001…
…0010000000000
310100220100211102
42320102100000
544331343443
64443233532
71124423201
oct270222000
9110810742
1048309248
11252a64a9
12142188a8
13a015970
1465b75a8
154393cb8
hex2e12400

48309248 has 88 divisors (see below), whose sum is σ = 110046720. Its totient is φ = 21012480.

The previous prime is 48309241. The next prime is 48309293. The reversal of 48309248 is 84290384.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48309241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252833 + ... + 253023.

Almost surely, 248309248 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 48309248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55023360).

48309248 is an abundant number, since it is smaller than the sum of its proper divisors (61737472).

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

48309248 is a wasteful number, since it uses less digits than its factorization.

48309248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 48309248 is about 6950.4854506718. The cubic root of 48309248 is about 364.2029219147.

The spelling of 48309248 in words is "forty-eight million, three hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 191 208 247 256 304 382 416 494 512 608 764 832 988 1024 1216 1528 1664 1976 2432 2483 3056 3328 3629 3952 4864 4966 6112 6656 7258 7904 9728 9932 12224 13312 14516 15808 19456 19864 24448 29032 31616 39728 47177 48896 58064 63232 79456 94354 97792 116128 126464 158912 188708 195584 232256 252928 317824 377416 464512 635648 754832 929024 1271296 1509664 1858048 2542592 3019328 3716096 6038656 12077312 24154624 48309248