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42970590 = 232513191933
BaseRepresentation
bin1010001111101…
…0110111011110
32222212010120100
42203322313132
542000024330
64133001530
71031146455
oct243726736
988763510
1042970590
112228a493
12124832a6
138b969b0
1459c7b9c
153b8c060
hex28fadde

42970590 has 96 divisors (see below), whose sum is σ = 126715680. Its totient is φ = 10015488.

The previous prime is 42970553. The next prime is 42970591. The reversal of 42970590 is 9507924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42970591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21264 + ... + 23196.

It is an arithmetic number, because the mean of its divisors is an integer number (1319955).

Almost surely, 242970590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42970590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63357840).

42970590 is an abundant number, since it is smaller than the sum of its proper divisors (83745090).

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

42970590 is a wasteful number, since it uses less digits than its factorization.

42970590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 42970590 is about 6555.1956492541. The cubic root of 42970590 is about 350.2599157780.

The spelling of 42970590 in words is "forty-two million, nine hundred seventy thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 1933 2223 2470 3705 3866 4446 5799 7410 9665 11115 11598 17397 19330 22230 25129 28995 34794 36727 50258 57990 73454 75387 86985 110181 125645 150774 173970 183635 220362 226161 251290 330543 367270 376935 452322 477451 550905 661086 753870 954902 1101810 1130805 1432353 1652715 2261610 2387255 2864706 3305430 4297059 4774510 7161765 8594118 14323530 21485295 42970590