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48949248 = 211331257
BaseRepresentation
bin1011101010111…
…0100000000000
310102002212202010
42322232200000
5100012333443
64505052520
71133030115
oct272564000
9112085663
1048949248
11256a3327
1214487140
13a1ab06a
14670290c
15446d733
hex2eae800

48949248 has 96 divisors (see below), whose sum is σ = 135233280. Its totient is φ = 15728640.

The previous prime is 48949247. The next prime is 48949253. The reversal of 48949248 is 84294984.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 48949197 and 48949206.

It is not an unprimeable number, because it can be changed into a prime (48949247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190336 + ... + 190592.

It is an arithmetic number, because the mean of its divisors is an integer number (1408680).

Almost surely, 248949248 is an apocalyptic number.

48949248 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 48949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67616640).

48949248 is an abundant number, since it is smaller than the sum of its proper divisors (86284032).

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

48949248 is a wasteful number, since it uses less digits than its factorization.

48949248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 48949248 is about 6996.3739179664. The cubic root of 48949248 is about 365.8041892067.

The spelling of 48949248 in words is "forty-eight million, nine hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 257 372 384 496 512 514 744 768 771 992 1024 1028 1488 1536 1542 1984 2048 2056 2976 3072 3084 3968 4112 5952 6144 6168 7936 7967 8224 11904 12336 15872 15934 16448 23808 23901 24672 31744 31868 32896 47616 47802 49344 63488 63736 65792 95232 95604 98688 127472 131584 190464 191208 197376 254944 263168 382416 394752 509888 526336 764832 789504 1019776 1529664 1579008 2039552 3059328 4079104 6118656 8158208 12237312 16316416 24474624 48949248