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123481248 = 25311116933
BaseRepresentation
bin1110101110000…
…10110010100000
322121100111102120
413113002302200
5223102344443
620130344240
73026400432
oct727026240
9277314376
10123481248
116377a320
123542b080
131c775637
1412584652
15ac92083
hex75c2ca0

123481248 has 48 divisors (see below), whose sum is σ = 353608416. Its totient is φ = 37418240.

The previous prime is 123481243. The next prime is 123481261. The reversal of 123481248 is 842184321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123481243) 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, 57411 + ... + 59522.

It is an arithmetic number, because the mean of its divisors is an integer number (7366842).

Almost surely, 2123481248 is an apocalyptic number.

It is an amenable number.

123481248 is an abundant number, since it is smaller than the sum of its proper divisors (230127168).

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

123481248 is a wasteful number, since it uses less digits than its factorization.

123481248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116957 (or 116949 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 123481248 is about 11112.2116610511. The cubic root of 123481248 is about 497.9667402506.

The spelling of 123481248 in words is "one hundred twenty-three million, four hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 116933 233866 350799 467732 701598 935464 1286263 1403196 1870928 2572526 2806392 3741856 3858789 5145052 5612784 7717578 10290104 11225568 15435156 20580208 30870312 41160416 61740624 123481248