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48355944 = 23372133163
BaseRepresentation
bin1011100001110…
…1101001101000
310100222201212220
42320131221220
544334342234
64444234040
71125006300
oct270355150
9110881786
1048355944
112532859a
121423b920
13a030cb0
1465ca600
1543a2a49
hex2e1da68

48355944 has 96 divisors (see below), whose sum is σ = 151492320. Its totient is φ = 12749184.

The previous prime is 48355943. The next prime is 48355949. The reversal of 48355944 is 44955384.

48355944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×483559442 = 4676594640262272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 48355896 and 48355905.

It is not an unprimeable number, because it can be changed into a prime (48355943) 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 23 ways as a sum of consecutive naturals, for example, 13707 + ... + 16869.

It is an arithmetic number, because the mean of its divisors is an integer number (1578045).

Almost surely, 248355944 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 48355944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75746160).

48355944 is an abundant number, since it is smaller than the sum of its proper divisors (103136376).

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

48355944 is a wasteful number, since it uses less digits than its factorization.

48355944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3188 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 48355944 is about 6953.8438291351. The cubic root of 48355944 is about 364.3202310129.

The spelling of 48355944 in words is "forty-eight million, three hundred fifty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3163 3822 5096 6326 7644 9489 12652 15288 18978 22141 25304 37956 41119 44282 66423 75912 82238 88564 123357 132846 154987 164476 177128 246714 265692 287833 309974 328952 464961 493428 531384 575666 619948 863499 929922 986856 1151332 1239896 1726998 1859844 2014831 2302664 3453996 3719688 4029662 6044493 6907992 8059324 12088986 16118648 24177972 48355944