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4148928 = 263374
BaseRepresentation
bin1111110100111011000000
321210210021000
433310323000
52030231203
6224532000
750160000
oct17647300
97723230
104148928
112384173
121481000
13b235b4
147a0000
1556e4a3
hex3f4ec0

4148928 has 140 divisors (see below), whose sum is σ = 14229080. Its totient is φ = 1185408.

The previous prime is 4148927. The next prime is 4148933. The reversal of 4148928 is 8298414.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

Its product of digits (18432) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 4148892 and 4148901.

It is not an unprimeable number, because it can be changed into a prime (4148923) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 592701 + ... + 592707.

Almost surely, 24148928 is an apocalyptic number.

4148928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114540).

4148928 is an abundant number, since it is smaller than the sum of its proper divisors (10080152).

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

4148928 is an frugal number, since it uses more digits than its factorization.

4148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 12 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 4148928 is about 2036.8917497010. The cubic root of 4148928 is about 160.6862193529.

The spelling of 4148928 in words is "four million, one hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 144 147 168 189 192 196 216 224 252 288 294 336 343 378 392 432 441 448 504 576 588 672 686 756 784 864 882 1008 1029 1176 1323 1344 1372 1512 1568 1728 1764 2016 2058 2352 2401 2646 2744 3024 3087 3136 3528 4032 4116 4704 4802 5292 5488 6048 6174 7056 7203 8232 9261 9408 9604 10584 10976 12096 12348 14112 14406 16464 18522 19208 21168 21609 21952 24696 28224 28812 32928 37044 38416 42336 43218 49392 57624 64827 65856 74088 76832 84672 86436 98784 115248 129654 148176 153664 172872 197568 230496 259308 296352 345744 460992 518616 592704 691488 1037232 1382976 2074464 4148928