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42925696 = 271143709
BaseRepresentation
bin1010001110111…
…1111010000000
32222202211222121
42203233322000
541442110241
64132014024
71030601542
oct243577200
988684877
1042925696
1122259790
1212461314
138b7c428
1459b5692
153b7dad1
hex28efe80

42925696 has 64 divisors (see below), whose sum is σ = 95594400. Its totient is φ = 19031040.

The previous prime is 42925681. The next prime is 42925699. The reversal of 42925696 is 69652924.

42925696 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (42925699) by changing a digit.

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, 60190 + ... + 60898.

Almost surely, 242925696 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 42925696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47797200).

42925696 is an abundant number, since it is smaller than the sum of its proper divisors (52668704).

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

42925696 is a wasteful number, since it uses less digits than its factorization.

42925696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 765 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 42925696 is about 6551.7704477492. The cubic root of 42925696 is about 350.1378939643.

The spelling of 42925696 in words is "forty-two million, nine hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 344 352 473 688 704 709 946 1376 1408 1418 1892 2752 2836 3784 5504 5672 7568 7799 11344 15136 15598 22688 30272 30487 31196 45376 60544 60974 62392 90752 121948 124784 243896 249568 335357 487792 499136 670714 975584 998272 1341428 1951168 2682856 3902336 5365712 10731424 21462848 42925696