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42917400 = 233252113211
BaseRepresentation
bin1010001110110…
…1111000011000
32222202102121100
42203231320120
541441324100
64131511400
71030535421
oct243557030
988672540
1042917400
1122253529
1212458560
138b78716
1459b2648
153b7b400
hex28ede18

42917400 has 144 divisors (see below), whose sum is σ = 146095560. Its totient is φ = 11289600.

The previous prime is 42917393. The next prime is 42917417. The reversal of 42917400 is 471924.

It is a happy number.

42917400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203295 + ... + 203505.

Almost surely, 242917400 is an apocalyptic number.

42917400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42917400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73047780).

42917400 is an abundant number, since it is smaller than the sum of its proper divisors (103178160).

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

42917400 is a wasteful number, since it uses less digits than its factorization.

42917400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42917400 is about 6551.1373058424. The cubic root of 42917400 is about 350.1153361386.

The spelling of 42917400 in words is "forty-two million, nine hundred seventeen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 113 120 150 180 200 211 225 226 300 339 360 422 450 452 565 600 633 678 844 900 904 1017 1055 1130 1266 1356 1688 1695 1800 1899 2034 2110 2260 2532 2712 2825 3165 3390 3798 4068 4220 4520 5064 5085 5275 5650 6330 6780 7596 8136 8440 8475 9495 10170 10550 11300 12660 13560 15192 15825 16950 18990 20340 21100 22600 23843 25320 25425 31650 33900 37980 40680 42200 47475 47686 50850 63300 67800 71529 75960 94950 95372 101700 119215 126600 143058 189900 190744 203400 214587 238430 286116 357645 379800 429174 476860 572232 596075 715290 858348 953720 1072935 1192150 1430580 1716696 1788225 2145870 2384300 2861160 3576450 4291740 4768600 5364675 7152900 8583480 10729350 14305800 21458700 42917400