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42813264 = 2431368611
BaseRepresentation
bin1010001101010…
…0011101010000
32222120010202110
42203110131100
541430011024
64125345320
71026623004
oct243243520
988503673
1042813264
112219226a
1212408240
138b401c0
145986704
153b5a629
hex28d4750

42813264 has 40 divisors (see below), whose sum is σ = 119110432. Its totient is φ = 13173120.

The previous prime is 42813257. The next prime is 42813271. The reversal of 42813264 is 46231824.

It is an interprime number because it is at equal distance from previous prime (42813257) and next prime (42813271).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 33682 + ... + 34929.

Almost surely, 242813264 is an apocalyptic number.

It is an amenable number.

42813264 is an abundant number, since it is smaller than the sum of its proper divisors (76297168).

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

42813264 is a wasteful number, since it uses less digits than its factorization.

42813264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68635 (or 68629 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 42813264 is about 6543.1845457697. The cubic root of 42813264 is about 349.8319301902.

The spelling of 42813264 in words is "forty-two million, eight hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 68611 137222 205833 274444 411666 548888 823332 891943 1097776 1646664 1783886 2675829 3293328 3567772 5351658 7135544 10703316 14271088 21406632 42813264