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4252416 = 28372113
BaseRepresentation
bin10000001110001100000000
322000001012220
4100032030000
52042034131
6231051040
751100500
oct20161400
98001186
104252416
1124449a3
121510a80
13b5b72c
147c9a00
1558ee96
hex40e300

4252416 has 108 divisors (see below), whose sum is σ = 13281912. Its totient is φ = 1204224.

The previous prime is 4252393. The next prime is 4252421. The reversal of 4252416 is 6142524.

4252416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37576 + ... + 37688.

Almost surely, 24252416 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 4252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640956).

4252416 is an abundant number, since it is smaller than the sum of its proper divisors (9029496).

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

4252416 is a wasteful number, since it uses less digits than its factorization.

4252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 4252416 is about 2062.1386956265. The cubic root of 4252416 is about 162.0112779833.

The spelling of 4252416 in words is "four million, two hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 113 128 147 168 192 196 224 226 256 294 336 339 384 392 448 452 588 672 678 768 784 791 896 904 1176 1344 1356 1568 1582 1792 1808 2352 2373 2688 2712 3136 3164 3616 4704 4746 5376 5424 5537 6272 6328 7232 9408 9492 10848 11074 12544 12656 14464 16611 18816 18984 21696 22148 25312 28928 33222 37632 37968 43392 44296 50624 66444 75936 86784 88592 101248 132888 151872 177184 202496 265776 303744 354368 531552 607488 708736 1063104 1417472 2126208 4252416