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42976512 = 283223811
BaseRepresentation
bin1010001111110…
…0010100000000
32222212102200200
42203330110000
542000222022
64133045200
71031202645
oct243742400
988772620
1042976512
1122293987
1212486800
138b995b7
1459c9dcc
153b8dbac
hex28fc500

42976512 has 108 divisors (see below), whose sum is σ = 129458784. Its totient is φ = 13685760.

The previous prime is 42976511. The next prime is 42976519. The reversal of 42976512 is 21567924.

It is a super-2 number, since 2×429765122 = 3693961167372288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42976511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52587 + ... + 53397.

Almost surely, 242976512 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 42976512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64729392).

42976512 is an abundant number, since it is smaller than the sum of its proper divisors (86482272).

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

42976512 is a wasteful number, since it uses less digits than its factorization.

42976512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 839 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 42976512 is about 6555.6473364573. The cubic root of 42976512 is about 350.2760054178.

The spelling of 42976512 in words is "forty-two million, nine hundred seventy-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 811 828 1104 1152 1472 1622 1656 2208 2304 2433 2944 3244 3312 4416 4866 5888 6488 6624 7299 8832 9732 12976 13248 14598 17664 18653 19464 25952 26496 29196 37306 38928 51904 52992 55959 58392 74612 77856 103808 111918 116784 149224 155712 167877 207616 223836 233568 298448 311424 335754 447672 467136 596896 622848 671508 895344 934272 1193792 1343016 1790688 1868544 2387584 2686032 3581376 4775168 5372064 7162752 10744128 14325504 21488256 42976512