[go: up one dir, main page]

Search a number
-
+
41062464 = 2634892
BaseRepresentation
bin1001110010100…
…1000001000000
32212021012010000
42130221001000
541002444324
64024040000
71006011432
oct234510100
985235100
1041062464
11211a6923
1211903000
138679321
14564c652
1539119c9
hex2729040

41062464 has 105 divisors (see below), whose sum is σ = 123105037. Its totient is φ = 13533696.

The previous prime is 41062457. The next prime is 41062481. The reversal of 41062464 is 46426014.

The square root of 41062464 is 6408.

It is a perfect power (a square), and thus also a powerful number.

41062464 is a `hidden beast` number, since 410 + 6 + 246 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 33177600 = 2808^2 + 5760^2 .

It is a super-3 number, since 3×410624643 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 461332 + ... + 461420.

Almost surely, 241062464 is an apocalyptic number.

41062464 is the 6408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41062464

41062464 is an abundant number, since it is smaller than the sum of its proper divisors (82042573).

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

41062464 is an frugal number, since it uses more digits than its factorization.

41062464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The cubic root of 41062464 is about 344.9967485516.

Adding to 41062464 its reverse (46426014), we get a palindrome (87488478).

The spelling of 41062464 in words is "forty-one million, sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 144 162 178 192 216 267 288 324 356 432 534 576 648 712 801 864 1068 1296 1424 1602 1728 2136 2403 2592 2848 3204 4272 4806 5184 5696 6408 7209 7921 8544 9612 12816 14418 15842 17088 19224 23763 25632 28836 31684 38448 47526 51264 57672 63368 71289 76896 95052 115344 126736 142578 153792 190104 213867 230688 253472 285156 380208 427734 461376 506944 570312 641601 760416 855468 1140624 1283202 1520832 1710936 2281248 2566404 3421872 4562496 5132808 6843744 10265616 13687488 20531232 41062464