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42934656 = 273176577
BaseRepresentation
bin1010001111001…
…0000110000000
32222210022021110
42203302012000
541442402111
64132123320
71030636632
oct243620600
988708243
1042934656
1122265496
1212466540
138b8352b
1459b8a52
153b815a6
hex28f2180

42934656 has 64 divisors (see below), whose sum is σ = 120772080. Its totient is φ = 13467648.

The previous prime is 42934651. The next prime is 42934679. The reversal of 42934656 is 65643924.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42934651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3240 + ... + 9816.

Almost surely, 242934656 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 42934656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60386040).

42934656 is an abundant number, since it is smaller than the sum of its proper divisors (77837424).

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

42934656 is a wasteful number, since it uses less digits than its factorization.

42934656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6599 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 42934656 is about 6552.4541967113. The cubic root of 42934656 is about 350.1622540219.

The spelling of 42934656 in words is "forty-two million, nine hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 6577 13154 19731 26308 39462 52616 78924 105232 111809 157848 210464 223618 315696 335427 420928 447236 631392 670854 841856 894472 1262784 1341708 1788944 2525568 2683416 3577888 5366832 7155776 10733664 14311552 21467328 42934656