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52000542 = 2351171137
BaseRepresentation
bin1100011001011…
…1011100011110
310121211220100000
43012113130132
5101303004132
65054315130
71200666036
oct306273436
9117756300
1052000542
1127397860
12154b8aa6
13aa08b69
146c988c6
15487287c
hex319771e

52000542 has 96 divisors (see below), whose sum is σ = 130201344. Its totient is φ = 15422400.

The previous prime is 52000541. The next prime is 52000561. The reversal of 52000542 is 24500025.

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

52000542 is a modest number, since divided by 542 gives 520 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52000541) 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, 379498 + ... + 379634.

It is an arithmetic number, because the mean of its divisors is an integer number (1356264).

Almost surely, 252000542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52000542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65100672).

52000542 is an abundant number, since it is smaller than the sum of its proper divisors (78200802).

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

52000542 is a wasteful number, since it uses less digits than its factorization.

52000542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

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

The square root of 52000542 is about 7211.1401317683. The cubic root of 52000542 is about 373.2524124856.

Adding to 52000542 its reverse (24500025), we get a palindrome (76500567).

The spelling of 52000542 in words is "fifty-two million, five hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 81 99 137 142 162 198 213 243 274 297 411 426 486 594 639 781 822 891 1233 1278 1507 1562 1782 1917 2343 2466 2673 3014 3699 3834 4521 4686 5346 5751 7029 7398 9042 9727 11097 11502 13563 14058 17253 19454 21087 22194 27126 29181 33291 34506 40689 42174 58362 63261 66582 81378 87543 106997 122067 126522 175086 189783 213994 244134 262629 320991 366201 379566 525258 641982 732402 787887 962973 1575774 1925946 2363661 2888919 4727322 5777838 8666757 17333514 26000271 52000542