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10325248 = 2853761
BaseRepresentation
bin100111011000…
…110100000000
3201102120120121
4213120310000
510120401443
61005150024
7153522523
oct47306400
921376517
1010325248
11591256a
12355b314
1321a691b
14152abba
15d8e4ed
hex9d8d00

10325248 has 36 divisors (see below), whose sum is σ = 21026628. Its totient is φ = 5058560.

The previous prime is 10325233. The next prime is 10325251. The reversal of 10325248 is 84252301.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 7661824 = 1632^2 + 2768^2 .

It is a super-2 number, since 2×103252482 = 213221492523008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13188 + ... + 13948.

It is an arithmetic number, because the mean of its divisors is an integer number (584073).

Almost surely, 210325248 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 10325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10513314).

10325248 is an abundant number, since it is smaller than the sum of its proper divisors (10701380).

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

10325248 is an frugal number, since it uses more digits than its factorization.

10325248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 10325248 is about 3213.2923925469. The cubic root of 10325248 is about 217.7543455128.

Adding to 10325248 its reverse (84252301), we get a palindrome (94577549).

The spelling of 10325248 in words is "ten million, three hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 761 848 1522 1696 3044 3392 6088 6784 12176 13568 24352 40333 48704 80666 97408 161332 194816 322664 645328 1290656 2581312 5162624 10325248