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4113408 = 210313103
BaseRepresentation
bin1111101100010000000000
321201222112110
433230100000
52023112113
6224055320
746651305
oct17542000
97658473
104113408
11235a512
121464540
13b10390
147910ac
15563bc3
hex3ec400

4113408 has 88 divisors (see below), whose sum is σ = 11921728. Its totient is φ = 1253376.

The previous prime is 4113379. The next prime is 4113419. The reversal of 4113408 is 8043114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39885 + ... + 39987.

Almost surely, 24113408 is an apocalyptic number.

4113408 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 4113408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960864).

4113408 is an abundant number, since it is smaller than the sum of its proper divisors (7808320).

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

4113408 is a wasteful number, since it uses less digits than its factorization.

4113408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4113408 is about 2028.1538403188. The cubic root of 4113408 is about 160.2263463116.

The spelling of 4113408 in words is "four million, one hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 128 156 192 206 208 256 309 312 384 412 416 512 618 624 768 824 832 1024 1236 1248 1339 1536 1648 1664 2472 2496 2678 3072 3296 3328 4017 4944 4992 5356 6592 6656 8034 9888 9984 10712 13184 13312 16068 19776 19968 21424 26368 32136 39552 39936 42848 52736 64272 79104 85696 105472 128544 158208 171392 257088 316416 342784 514176 685568 1028352 1371136 2056704 4113408