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42252100 = 22521171541
BaseRepresentation
bin1010000100101…
…1011101000100
32221111121222121
42201023131010
541304031400
64105335324
71022064652
oct241133504
987447877
1042252100
11219396a0
1212197544
1389a4957
14587bdd2
153a9921a
hex284b744

42252100 has 72 divisors (see below), whose sum is σ = 101618496. Its totient is φ = 15120000.

The previous prime is 42252071. The next prime is 42252109. The reversal of 42252100 is 125224.

It is not an unprimeable number, because it can be changed into a prime (42252109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77830 + ... + 78370.

It is an arithmetic number, because the mean of its divisors is an integer number (1411368).

Almost surely, 242252100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50809248).

42252100 is an abundant number, since it is smaller than the sum of its proper divisors (59366396).

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

42252100 is a wasteful number, since it uses less digits than its factorization.

42252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 42252100 is about 6500.1615364543. The cubic root of 42252100 is about 348.2967588001.

Adding to 42252100 its reverse (125224), we get a palindrome (42377324).

The spelling of 42252100 in words is "forty-two million, two hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 541 550 710 781 1082 1100 1420 1562 1775 2164 2705 3124 3550 3905 5410 5951 7100 7810 10820 11902 13525 15620 19525 23804 27050 29755 38411 39050 54100 59510 76822 78100 119020 148775 153644 192055 297550 384110 422521 595100 768220 845042 960275 1690084 1920550 2112605 3841100 4225210 8450420 10563025 21126050 42252100