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42933780 = 22335433
BaseRepresentation
bin1010001111000…
…1111000010100
32222210021002000
42203301320110
541442340110
64132115300
71030634241
oct243617024
988707060
1042933780
112226486a
1212465b30
138b83006
1459b85c8
153b811c0
hex28f1e14

42933780 has 96 divisors (see below), whose sum is σ = 136752000. Its totient is φ = 11182752.

The previous prime is 42933757. The next prime is 42933797. The reversal of 42933780 is 8733924.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998439 + ... + 998481.

It is an arithmetic number, because the mean of its divisors is an integer number (1424500).

Almost surely, 242933780 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 42933780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68376000).

42933780 is an abundant number, since it is smaller than the sum of its proper divisors (93818220).

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

42933780 is an equidigital number, since it uses as much as digits as its factorization.

42933780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42933780 is about 6552.3873511874. The cubic root of 42933780 is about 350.1598725407.

The spelling of 42933780 in words is "forty-two million, nine hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1849 1935 2322 2580 3698 3870 4644 5547 5805 7396 7740 9245 11094 11610 16641 18490 22188 23220 27735 33282 36980 49923 55470 66564 79507 83205 99846 110940 159014 166410 199692 238521 249615 318028 332820 397535 477042 499230 715563 795070 954084 998460 1192605 1431126 1590140 2146689 2385210 2862252 3577815 4293378 4770420 7155630 8586756 10733445 14311260 21466890 42933780