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42200544 = 2534310223
BaseRepresentation
bin1010000011111…
…0110111100000
32221102000021010
42200332313200
541300404134
64104300520
71021461441
oct240766740
987360233
1042200544
1121903991
1212171740
138987349
1458672c8
153a88ce9
hex283ede0

42200544 has 48 divisors (see below), whose sum is σ = 113363712. Its totient is φ = 13738368.

The previous prime is 42200533. The next prime is 42200551. The reversal of 42200544 is 44500224.

42200544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42200544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 984 + ... + 9239.

It is an arithmetic number, because the mean of its divisors is an integer number (2361744).

Almost surely, 242200544 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 42200544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56681856).

42200544 is an abundant number, since it is smaller than the sum of its proper divisors (71163168).

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

42200544 is a wasteful number, since it uses less digits than its factorization.

42200544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10271 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 42200544 is about 6496.1945783666. The cubic root of 42200544 is about 348.1550372740.

Adding to 42200544 its reverse (44500224), we get a palindrome (86700768).

The spelling of 42200544 in words is "forty-two million, two hundred thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 10223 20446 30669 40892 61338 81784 122676 163568 245352 327136 439589 490704 879178 981408 1318767 1758356 2637534 3516712 5275068 7033424 10550136 14066848 21100272 42200544