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42981576 = 233111761157
BaseRepresentation
bin1010001111110…
…1100011001000
32222212200122020
42203331203020
542000402301
64133124440
71031223501
oct243754310
988780566
1042981576
1122297770
1212489720
138b9b9b1
1459cbba8
153b90436
hex28fd8c8

42981576 has 128 divisors (see below), whose sum is σ = 126956160. Its totient is φ = 11980800.

The previous prime is 42981563. The next prime is 42981577. The reversal of 42981576 is 67518924.

42981576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42981577) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 273690 + ... + 273846.

It is an arithmetic number, because the mean of its divisors is an integer number (991845).

Almost surely, 242981576 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 42981576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63478080).

42981576 is an abundant number, since it is smaller than the sum of its proper divisors (83974584).

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

42981576 is a wasteful number, since it uses less digits than its factorization.

42981576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 42981576 is about 6556.0335569611. The cubic root of 42981576 is about 350.2897627621.

The spelling of 42981576 in words is "forty-two million, nine hundred eighty-one thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 61 66 68 88 102 122 132 136 157 183 187 204 244 264 314 366 374 408 471 488 561 628 671 732 748 942 1037 1122 1256 1342 1464 1496 1727 1884 2013 2074 2244 2669 2684 3111 3454 3768 4026 4148 4488 5181 5338 5368 6222 6908 8007 8052 8296 9577 10362 10676 11407 12444 13816 16014 16104 19154 20724 21352 22814 24888 28731 29359 32028 34221 38308 41448 45628 57462 58718 64056 68442 76616 88077 91256 105347 114924 117436 136884 162809 176154 210694 229848 234872 273768 316041 325618 352308 421388 488427 632082 651236 704616 842776 976854 1264164 1302472 1790899 1953708 2528328 3581798 3907416 5372697 7163596 10745394 14327192 21490788 42981576