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48313848 = 233112127131
BaseRepresentation
bin1011100001001…
…1010111111000
310100220121010210
42320103113320
544332020343
64443311120
71124442462
oct270232770
9110817123
1048313848
11252a9a00
121421b4a0
13a017a9b
1465b9132
154395333
hex2e135f8

48313848 has 96 divisors (see below), whose sum is σ = 134830080. Its totient is φ = 14414400.

The previous prime is 48313843. The next prime is 48313849. The reversal of 48313848 is 84831384.

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 (48313843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368743 + ... + 368873.

It is an arithmetic number, because the mean of its divisors is an integer number (1404480).

Almost surely, 248313848 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 48313848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67415040).

48313848 is an abundant number, since it is smaller than the sum of its proper divisors (86516232).

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

48313848 is a wasteful number, since it uses less digits than its factorization.

48313848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 48313848 is about 6950.8163549327. The cubic root of 48313848 is about 364.2144813320.

The spelling of 48313848 in words is "forty-eight million, three hundred thirteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 127 131 132 242 254 262 264 363 381 393 484 508 524 726 762 786 968 1016 1048 1397 1441 1452 1524 1572 2794 2882 2904 3048 3144 4191 4323 5588 5764 8382 8646 11176 11528 15367 15851 16637 16764 17292 30734 31702 33274 33528 34584 46101 47553 49911 61468 63404 66548 92202 95106 99822 122936 126808 133096 183007 184404 190212 199644 366014 368808 380424 399288 549021 732028 1098042 1464056 2013077 2196084 4026154 4392168 6039231 8052308 12078462 16104616 24156924 48313848