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42917940 = 223251318341
BaseRepresentation
bin1010001110111…
…0000000110100
32222202110100100
42203232000310
541441333230
64131514100
71030540122
oct243560064
988673310
1042917940
112225397a
1212458930
138b78a40
1459b2912
153b7b660
hex28ee034

42917940 has 72 divisors (see below), whose sum is σ = 140206248. Its totient is φ = 10563840.

The previous prime is 42917929. The next prime is 42917971. The reversal of 42917940 is 4971924.

It can be written as a sum of positive squares in 4 ways, for example, as 459684 + 42458256 = 678^2 + 6516^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 42917895 and 42917904.

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 23 ways as a sum of consecutive naturals, for example, 6831 + ... + 11510.

It is an arithmetic number, because the mean of its divisors is an integer number (1947309).

Almost surely, 242917940 is an apocalyptic number.

It is an amenable number.

42917940 is an abundant number, since it is smaller than the sum of its proper divisors (97288308).

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

42917940 is a wasteful number, since it uses less digits than its factorization.

42917940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18369 (or 18364 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 42917940 is about 6551.1785199306. The cubic root of 42917940 is about 350.1168045522.

The spelling of 42917940 in words is "forty-two million, nine hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 18341 36682 55023 73364 91705 110046 165069 183410 220092 238433 275115 330138 366820 476866 550230 660276 715299 825345 953732 1100460 1192165 1430598 1650690 2145897 2384330 2861196 3301380 3576495 4291794 4768660 7152990 8583588 10729485 14305980 21458970 42917940