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42780744 = 2333316389
BaseRepresentation
bin1010001100110…
…0100001001000
32222111111011000
42203030201020
541422440434
64124535000
71026426126
oct243144110
988444130
1042780744
112216a896
12123b1460
138b2b466
145978916
153b50b99
hex28cc848

42780744 has 64 divisors (see below), whose sum is σ = 122688000. Its totient is φ = 13798080.

The previous prime is 42780707. The next prime is 42780779. The reversal of 42780744 is 44708724.

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 = 42780699 and 42780708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3502 + ... + 9890.

It is an arithmetic number, because the mean of its divisors is an integer number (1917000).

Almost surely, 242780744 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 42780744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61344000).

42780744 is an abundant number, since it is smaller than the sum of its proper divisors (79907256).

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

42780744 is a wasteful number, since it uses less digits than its factorization.

42780744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 42780744 is about 6540.6990452092. The cubic root of 42780744 is about 349.7433329116.

The spelling of 42780744 in words is "forty-two million, seven hundred eighty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6389 6696 12778 19167 25556 38334 51112 57501 76668 115002 153336 172503 198059 230004 345006 396118 460008 594177 690012 792236 1188354 1380024 1584472 1782531 2376708 3565062 4753416 5347593 7130124 10695186 14260248 21390372 42780744