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41870976 = 273737421
BaseRepresentation
bin1001111110111…
…0011010000000
32220210021011220
42133232122000
541204332401
64053235040
71015616550
oct237563200
986707156
1041870976
11216a9314
1212032a80
1388a0334
1457bd160
153a21336
hex27ee680

41870976 has 128 divisors (see below), whose sum is σ = 130853760. Its totient is φ = 11612160.

The previous prime is 41870947. The next prime is 41870989. The reversal of 41870976 is 67907814.

41870976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 99246 + ... + 99666.

It is an arithmetic number, because the mean of its divisors is an integer number (1022295).

Almost surely, 241870976 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 41870976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65426880).

41870976 is an abundant number, since it is smaller than the sum of its proper divisors (88982784).

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

41870976 is a wasteful number, since it uses less digits than its factorization.

41870976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 41870976 is about 6470.7786239370. The cubic root of 41870976 is about 347.2463542491.

The spelling of 41870976 in words is "forty-one million, eight hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 259 296 336 384 421 444 448 518 592 672 777 842 888 896 1036 1184 1263 1344 1554 1684 1776 2072 2368 2526 2688 2947 3108 3368 3552 4144 4736 5052 5894 6216 6736 7104 8288 8841 10104 11788 12432 13472 14208 15577 16576 17682 20208 23576 24864 26944 31154 33152 35364 40416 46731 47152 49728 53888 62308 70728 80832 93462 94304 99456 109039 124616 141456 161664 186924 188608 218078 249232 282912 327117 373848 377216 436156 498464 565824 654234 747696 872312 996928 1131648 1308468 1495392 1744624 1993856 2616936 2990784 3489248 5233872 5981568 6978496 10467744 13956992 20935488 41870976