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25000542 = 233719592
BaseRepresentation
bin101111101011…
…1101001011110
31202001011022000
41133113221132
522400004132
62251503130
7422333610
oct137275136
952034260
1025000542
1113126306
128457aa6
135244528
14346adb0
1522dc87c
hex17d7a5e

25000542 has 96 divisors (see below), whose sum is σ = 67987200. Its totient is φ = 6652368.

The previous prime is 25000541. The next prime is 25000543. The reversal of 25000542 is 24500052.

It is an interprime number because it is at equal distance from previous prime (25000541) and next prime (25000543).

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

25000542 is a modest number, since divided by 542 gives 250 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25000541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423709 + ... + 423767.

It is an arithmetic number, because the mean of its divisors is an integer number (708200).

Almost surely, 225000542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25000542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33993600).

25000542 is an abundant number, since it is smaller than the sum of its proper divisors (42986658).

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

25000542 is a wasteful number, since it uses less digits than its factorization.

25000542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 25000542 is about 5000.0541997062. The cubic root of 25000542 is about 292.4038868962.

Adding to 25000542 its reverse (24500052), we get a palindrome (49500594).

It can be divided in two parts, 250005 and 42, that added together give a cube (250047 = 633).

The spelling of 25000542 in words is "twenty-five million, five hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 59 63 114 118 126 133 171 177 189 266 342 354 378 399 413 513 531 798 826 1026 1062 1121 1197 1239 1593 2242 2394 2478 3186 3363 3481 3591 3717 6726 6962 7182 7434 7847 10089 10443 11151 15694 20178 20886 22302 23541 24367 30267 31329 47082 48734 60534 62658 66139 70623 73101 93987 132278 141246 146202 187974 198417 211869 219303 396834 423738 438606 462973 595251 657909 925946 1190502 1315818 1388919 1785753 2777838 3571506 4166757 8333514 12500271 25000542