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10531948 = 2274753151
BaseRepresentation
bin101000001011…
…010001101100
3201211002010011
4220023101230
510144010243
61013423004
7155343250
oct50132154
921732104
1010531948
115a43899
12363aa64
132249a2b
141582260
15dd089d
hexa0b46c

10531948 has 48 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 4305600.

The previous prime is 10531933. The next prime is 10531949. The reversal of 10531948 is 84913501.

It is a super-2 number, since 2×105319482 = 221843857349408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10531949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69673 + ... + 69823.

It is an arithmetic number, because the mean of its divisors is an integer number (459648).

Almost surely, 210531948 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 10531948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

10531948 is an abundant number, since it is smaller than the sum of its proper divisors (11531156).

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

10531948 is a wasteful number, since it uses less digits than its factorization.

10531948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 10531948 is about 3245.2962884766. The cubic root of 10531948 is about 219.1978224072.

The spelling of 10531948 in words is "ten million, five hundred thirty-one thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 47 53 94 106 151 188 212 302 329 371 604 658 742 1057 1316 1484 2114 2491 4228 4982 7097 8003 9964 14194 16006 17437 28388 32012 34874 49679 56021 69748 99358 112042 198716 224084 376141 752282 1504564 2632987 5265974 10531948