Search a number
-
+
41965452 = 22341719401
BaseRepresentation
bin1010000000010…
…1011110001100
32220222001210000
42200011132030
541220343302
64055244300
71016462154
oct240053614
986861700
1041965452
11217632a1
1212079690
138904339
145805764
153a3e31c
hex280578c

41965452 has 120 divisors (see below), whose sum is σ = 122577840. Its totient is φ = 12441600.

The previous prime is 41965447. The next prime is 41965459. The reversal of 41965452 is 25456914.

It is a super-2 number, since 2×419654522 = 3522198323128608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41965459) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104452 + ... + 104852.

It is an arithmetic number, because the mean of its divisors is an integer number (1021482).

Almost surely, 241965452 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 41965452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61288920).

41965452 is an abundant number, since it is smaller than the sum of its proper divisors (80612388).

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

41965452 is a wasteful number, since it uses less digits than its factorization.

41965452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 41965452 is about 6478.0747139872. The cubic root of 41965452 is about 347.5073290037.

The spelling of 41965452 in words is "forty-one million, nine hundred sixty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 401 459 513 612 646 684 802 918 969 1026 1203 1292 1377 1539 1604 1836 1938 2052 2406 2754 2907 3078 3609 3876 4812 5508 5814 6156 6817 7218 7619 8721 10827 11628 13634 14436 15238 17442 20451 21654 22857 26163 27268 30476 32481 34884 40902 43308 45714 52326 61353 64962 68571 81804 91428 104652 122706 129523 129924 137142 184059 205713 245412 259046 274284 368118 388569 411426 518092 552177 617139 736236 777138 822852 1104354 1165707 1234278 1554276 2208708 2331414 2468556 3497121 4662828 6994242 10491363 13988484 20982726 41965452