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48358944 = 2537691
BaseRepresentation
bin1011100001111…
…0011000100000
310100222220000000
42320132120200
544334441234
64444300000
71125021114
oct270363040
9110886000
1048358944
112532a877
1214241600
13a03247a
1465cb744
1543a3899
hex2e1e620

48358944 has 96 divisors (see below), whose sum is σ = 142994880. Its totient is φ = 16096320.

The previous prime is 48358943. The next prime is 48358991. The reversal of 48358944 is 44985384.

It is a happy number.

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

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 48358944.

It is not an unprimeable number, because it can be changed into a prime (48358943) 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 15 ways as a sum of consecutive naturals, for example, 69639 + ... + 70329.

It is an arithmetic number, because the mean of its divisors is an integer number (1489530).

Almost surely, 248358944 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 48358944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71497440).

48358944 is an abundant number, since it is smaller than the sum of its proper divisors (94635936).

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

48358944 is an frugal number, since it uses more digits than its factorization.

48358944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 696 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 48358944 is about 6954.0595338263. The cubic root of 48358944 is about 364.3277649925.

The spelling of 48358944 in words is "forty-eight million, three hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 691 729 864 972 1296 1382 1458 1944 2073 2187 2592 2764 2916 3888 4146 4374 5528 5832 6219 7776 8292 8748 11056 11664 12438 16584 17496 18657 22112 23328 24876 33168 34992 37314 49752 55971 66336 69984 74628 99504 111942 149256 167913 199008 223884 298512 335826 447768 503739 597024 671652 895536 1007478 1343304 1511217 1791072 2014956 2686608 3022434 4029912 5373216 6044868 8059824 12089736 16119648 24179472 48358944