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11274752 = 2919261
BaseRepresentation
bin101011000000…
…101000000000
3210012211001102
4223000220000
510341243002
61041353532
7164555666
oct53005000
923184042
1011274752
116400985
1239388a8
132449b68
1416d6c36
15ecaa02
hexac0a00

11274752 has 60 divisors (see below), whose sum is σ = 24165306. Its totient is φ = 5253120.

The previous prime is 11274749. The next prime is 11274773. The reversal of 11274752 is 25747211.

It can be written as a sum of positive squares in only one way, i.e., 11182336 + 92416 = 3344^2 + 304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184802 + ... + 184862.

Almost surely, 211274752 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 11274752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082653).

11274752 is an abundant number, since it is smaller than the sum of its proper divisors (12890554).

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

11274752 is an frugal number, since it uses more digits than its factorization.

11274752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its digits is 3920, while the sum is 29.

The square root of 11274752 is about 3357.7897492249. The cubic root of 11274752 is about 224.2344484078.

The spelling of 11274752 in words is "eleven million, two hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 256 304 361 488 512 608 722 976 1159 1216 1444 1952 2318 2432 2888 3904 4636 4864 5776 7808 9272 9728 11552 15616 18544 22021 23104 31232 37088 44042 46208 74176 88084 92416 148352 176168 184832 296704 352336 593408 704672 1409344 2818688 5637376 11274752