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10041552 = 2432137509
BaseRepresentation
bin100110010011…
…100011010000
3200220011102100
4212103203100
510032312202
6555120400
7151231443
oct46234320
920804370
1010041552
115739404
123443100
132107761
14149565a
15d3541c
hex9938d0

10041552 has 60 divisors (see below), whose sum is σ = 28363140. Its totient is φ = 3316224.

The previous prime is 10041529. The next prime is 10041571. The reversal of 10041552 is 25514001.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 2944656 = 2664^2 + 1716^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19474 + ... + 19982.

It is an arithmetic number, because the mean of its divisors is an integer number (472719).

Almost surely, 210041552 is an apocalyptic number.

10041552 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 10041552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14181570).

10041552 is an abundant number, since it is smaller than the sum of its proper divisors (18321588).

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

10041552 is a wasteful number, since it uses less digits than its factorization.

10041552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10041552 is about 3168.8407975157. The cubic root of 10041552 is about 215.7414602133.

Adding to 10041552 its reverse (25514001), we get a palindrome (35555553).

It can be divided in two parts, 1004 and 1552, that added together give a triangular number (2556 = T71).

The spelling of 10041552 in words is "ten million, forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 509 548 822 1018 1096 1233 1527 1644 2036 2192 2466 3054 3288 4072 4581 4932 6108 6576 8144 9162 9864 12216 18324 19728 24432 36648 69733 73296 139466 209199 278932 418398 557864 627597 836796 1115728 1255194 1673592 2510388 3347184 5020776 10041552