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48359424 = 211317463
BaseRepresentation
bin1011100001111…
…0100000000000
310100222220122210
42320132200000
544340000144
64444302120
71125022401
oct270364000
9110886583
1048359424
1125330173
1214241940
13a032759
1465cb9a8
1543a3ab9
hex2e1e800

48359424 has 96 divisors (see below), whose sum is σ = 136805760. Its totient is φ = 15138816.

The previous prime is 48359419. The next prime is 48359429. The reversal of 48359424 is 42495384.

It is an interprime number because it is at equal distance from previous prime (48359419) and next prime (48359429).

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

It is a super-2 number, since 2×483594242 = 4677267779223552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48359429) 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, 104217 + ... + 104679.

It is an arithmetic number, because the mean of its divisors is an integer number (1425060).

Almost surely, 248359424 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 48359424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68402880).

48359424 is an abundant number, since it is smaller than the sum of its proper divisors (88446336).

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

48359424 is a wasteful number, since it uses less digits than its factorization.

48359424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 485 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 48359424 is about 6954.0940459560. The cubic root of 48359424 is about 364.3289704003.

The spelling of 48359424 in words is "forty-eight million, three hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 463 512 544 768 816 926 1024 1088 1389 1536 1632 1852 2048 2176 2778 3072 3264 3704 4352 5556 6144 6528 7408 7871 8704 11112 13056 14816 15742 17408 22224 23613 26112 29632 31484 34816 44448 47226 52224 59264 62968 88896 94452 104448 118528 125936 177792 188904 237056 251872 355584 377808 474112 503744 711168 755616 948224 1007488 1422336 1511232 2014976 2844672 3022464 4029952 6044928 8059904 12089856 16119808 24179712 48359424