Search a number
-
+
10552542 = 23721113251
BaseRepresentation
bin101000010000…
…010011011110
3201212010100220
4220100103132
510200140132
61014102210
7155460300
oct50202336
921763326
1010552542
115a58310
12364a966
132256210
141589970
15dd6a2c
hexa104de

10552542 has 96 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 2520000.

The previous prime is 10552523. The next prime is 10552547. The reversal of 10552542 is 24525501.

It is a happy number.

It is a super-2 number, since 2×105525422 = 222712285323528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41917 + ... + 42167.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 210552542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10552542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

10552542 is an abundant number, since it is smaller than the sum of its proper divisors (18405282).

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

10552542 is a wasteful number, since it uses less digits than its factorization.

10552542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 10552542 is about 3248.4676387491. The cubic root of 10552542 is about 219.3406013386.

The spelling of 10552542 in words is "ten million, five hundred fifty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 143 147 154 182 231 251 273 286 294 429 462 502 539 546 637 753 858 1001 1078 1274 1506 1617 1757 1911 2002 2761 3003 3234 3263 3514 3822 5271 5522 6006 6526 7007 8283 9789 10542 12299 14014 16566 19327 19578 21021 22841 24598 35893 36897 38654 42042 45682 57981 68523 71786 73794 107679 115962 135289 137046 159887 215358 251251 270578 319774 405867 479661 502502 753753 811734 959322 1507506 1758757 3517514 5276271 10552542