Search a number
-
+
10047296 = 26741547
BaseRepresentation
bin100110010100…
…111101000000
3200220110022002
4212110331000
510033003141
6555203132
7151254260
oct46247500
920813262
1010047296
115742756
1234464a8
13210a25c
1414977a0
15d36e9b
hex994f40

10047296 has 56 divisors (see below), whose sum is σ = 23384256. Its totient is φ = 4193280.

The previous prime is 10047277. The next prime is 10047319. The reversal of 10047296 is 69274001.

It is a tau number, because it is divible by the number of its divisors (56).

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, 18095 + ... + 18641.

It is an arithmetic number, because the mean of its divisors is an integer number (417576).

Almost surely, 210047296 is an apocalyptic number.

10047296 is a gapful number since it is divisible by the number (16) 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 10047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692128).

10047296 is an abundant number, since it is smaller than the sum of its proper divisors (13336960).

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

10047296 is an equidigital number, since it uses as much as digits as its factorization.

10047296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10047296 is about 3169.7469930580. The cubic root of 10047296 is about 215.7825887405.

The spelling of 10047296 in words is "ten million, forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 547 574 656 1094 1148 1312 2188 2296 2624 3829 4376 4592 7658 8752 9184 15316 17504 18368 22427 30632 35008 44854 61264 89708 122528 156989 179416 245056 313978 358832 627956 717664 1255912 1435328 2511824 5023648 10047296