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42799540 = 2257317367
BaseRepresentation
bin1010001101000…
…1000110110100
32222112102221011
42203101012310
541424041130
64125202004
71026535000
oct243210664
988472834
1042799540
1122182a23
1212400304
138b36b94
145981700
153b5652a
hex28d11b4

42799540 has 96 divisors (see below), whose sum is σ = 111283200. Its totient is φ = 13773312.

The previous prime is 42799529. The next prime is 42799543. The reversal of 42799540 is 4599724.

It is a junction number, because it is equal to n+sod(n) for n = 42799493 and 42799502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42799543) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 116437 + ... + 116803.

It is an arithmetic number, because the mean of its divisors is an integer number (1159200).

Almost surely, 242799540 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 42799540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55641600).

42799540 is an abundant number, since it is smaller than the sum of its proper divisors (68483660).

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

42799540 is a wasteful number, since it uses less digits than its factorization.

42799540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 42799540 is about 6542.1357368982. The cubic root of 42799540 is about 349.7945460865.

The spelling of 42799540 in words is "forty-two million, seven hundred ninety-nine thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 343 367 476 490 595 686 734 833 980 1190 1372 1468 1666 1715 1835 2380 2569 3332 3430 3670 4165 5138 5831 6239 6860 7340 8330 10276 11662 12478 12845 16660 17983 23324 24956 25690 29155 31195 35966 43673 51380 58310 62390 71932 87346 89915 116620 124780 125881 174692 179830 218365 251762 305711 359660 436730 503524 611422 629405 873460 1222844 1258810 1528555 2139977 2517620 3057110 4279954 6114220 8559908 10699885 21399770 42799540