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10552152 = 23313311091
BaseRepresentation
bin101000010000…
…001101011000
3201212002211110
4220100031120
510200132102
61014100320
7155456202
oct50201530
921762743
1010552152
115a57a96
12364a6a0
132255ca0
141589772
15dd686c
hexa10358

10552152 has 64 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 3139200.

The previous prime is 10552133. The next prime is 10552219. The reversal of 10552152 is 25125501.

It is a super-2 number, since 2×105521522 = 222695823662208, 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 15 ways as a sum of consecutive naturals, for example, 9127 + ... + 10217.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 210552152 is an apocalyptic number.

10552152 is a gapful number since it is divisible by the number (12) 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 10552152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

10552152 is an abundant number, since it is smaller than the sum of its proper divisors (18800808).

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

10552152 is a wasteful number, since it uses less digits than its factorization.

10552152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 10552152 is about 3248.4076098913. The cubic root of 10552152 is about 219.3378991812.

Adding to 10552152 its reverse (25125501), we get a palindrome (35677653).

The spelling of 10552152 in words is "ten million, five hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1091 1209 1612 2182 2418 3224 3273 4364 4836 6546 8728 9672 13092 14183 26184 28366 33821 42549 56732 67642 85098 101463 113464 135284 170196 202926 270568 340392 405852 439673 811704 879346 1319019 1758692 2638038 3517384 5276076 10552152