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42868350 = 23252731439
BaseRepresentation
bin1010001110000…
…1111001111110
32222122221022200
42203201321332
541433241400
64130452330
71030242420
oct243417176
988587280
1042868350
112221a698
12124340a6
138b5c2b5
14599c810
153b6bb00
hex28e1e7e

42868350 has 144 divisors (see below), whose sum is σ = 136181760. Its totient is φ = 9460800.

The previous prime is 42868349. The next prime is 42868387. The reversal of 42868350 is 5386824.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97431 + ... + 97869.

Almost surely, 242868350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42868350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68090880).

42868350 is an abundant number, since it is smaller than the sum of its proper divisors (93313410).

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

42868350 is a wasteful number, since it uses less digits than its factorization.

42868350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42868350 is about 6547.3926108032. The cubic root of 42868350 is about 349.9819038263.

The spelling of 42868350 in words is "forty-two million, eight hundred sixty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 31 35 42 45 50 62 63 70 75 90 93 105 126 150 155 175 186 210 217 225 279 310 315 350 434 439 450 465 525 558 630 651 775 878 930 1050 1085 1302 1317 1395 1550 1575 1953 2170 2195 2325 2634 2790 3073 3150 3255 3906 3951 4390 4650 5425 6146 6510 6585 6975 7902 9219 9765 10850 10975 13170 13609 13950 15365 16275 18438 19530 19755 21950 27218 27657 30730 32550 32925 39510 40827 46095 48825 55314 65850 68045 76825 81654 92190 95263 97650 98775 122481 136090 138285 153650 190526 197550 204135 230475 244962 276570 285789 340225 408270 460950 476315 571578 612405 680450 691425 857367 952630 1020675 1224810 1382850 1428945 1714734 2041350 2381575 2857890 3062025 4286835 4763150 6124050 7144725 8573670 14289450 21434175 42868350