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48155424 = 25317191553
BaseRepresentation
bin1011011110110…
…0101100100000
310100121112211020
42313230230200
544311433144
64440045440
71123212552
oct267545440
9110545736
1048155424
1125200979
1214163880
139c90945
1465774d2
154363419
hex2decb20

48155424 has 96 divisors (see below), whose sum is σ = 140978880. Its totient is φ = 14303232.

The previous prime is 48155423. The next prime is 48155447. The reversal of 48155424 is 42455184.

It is a happy number.

48155424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (48155423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30232 + ... + 31784.

It is an arithmetic number, because the mean of its divisors is an integer number (1468530).

Almost surely, 248155424 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 48155424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70489440).

48155424 is an abundant number, since it is smaller than the sum of its proper divisors (92823456).

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

48155424 is a wasteful number, since it uses less digits than its factorization.

48155424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1594 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

The square root of 48155424 is about 6939.4109260081. The cubic root of 48155424 is about 363.8159517170.

The spelling of 48155424 in words is "forty-eight million, one hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1292 1553 1632 1824 1938 2584 3106 3876 4659 5168 6212 7752 9318 10336 12424 15504 18636 24848 26401 29507 31008 37272 49696 52802 59014 74544 79203 88521 105604 118028 149088 158406 177042 211208 236056 316812 354084 422416 472112 501619 633624 708168 844832 944224 1003238 1267248 1416336 1504857 2006476 2534496 2832672 3009714 4012952 6019428 8025904 12038856 16051808 24077712 48155424