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42093750 = 2356449
BaseRepresentation
bin1010000010010…
…0110010110110
32221012120202210
42200210302312
541234000000
64102114250
71020535206
oct240446266
987176683
1042093750
1121840726
121211b986
13894a85a
14583a406
153a67350
hex2824cb6

42093750 has 56 divisors (see below), whose sum is σ = 105467400. Its totient is φ = 11200000.

The previous prime is 42093739. The next prime is 42093781. The reversal of 42093750 is 5739024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 93526 + ... + 93974.

Almost surely, 242093750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42093750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52733700).

42093750 is an abundant number, since it is smaller than the sum of its proper divisors (63373650).

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

42093750 is an frugal number, since it uses more digits than its factorization.

42093750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 42093750 is about 6487.9696361805. The cubic root of 42093750 is about 347.8611052266.

The spelling of 42093750 in words is "forty-two million, ninety-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 449 625 750 898 1250 1347 1875 2245 2694 3125 3750 4490 6250 6735 9375 11225 13470 15625 18750 22450 31250 33675 46875 56125 67350 93750 112250 168375 280625 336750 561250 841875 1403125 1683750 2806250 4209375 7015625 8418750 14031250 21046875 42093750