Search a number
-
+
41750016 = 293711353
BaseRepresentation
bin1001111101000…
…0111000000000
32220120010020220
42133100320000
541142000031
64050503040
71014604110
oct237207000
986503226
1041750016
1121626450
1211b94a80
13885a269
14578b040
1539ea596
hex27d0e00

41750016 has 160 divisors (see below), whose sum is σ = 139062528. Its totient is φ = 10813440.

The previous prime is 41749979. The next prime is 41750017. The reversal of 41750016 is 61005714.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41750017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118096 + ... + 118448.

Almost surely, 241750016 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 41750016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69531264).

41750016 is an abundant number, since it is smaller than the sum of its proper divisors (97312512).

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

41750016 is a wasteful number, since it uses less digits than its factorization.

41750016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 41750016 is about 6461.4252297771. The cubic root of 41750016 is about 346.9116480068.

It can be divided in two parts, 41 and 750016, that added together give a palindrome (750057).

The spelling of 41750016 in words is "forty-one million, seven hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 353 384 448 462 512 528 616 672 704 706 768 896 924 1056 1059 1232 1344 1408 1412 1536 1792 1848 2112 2118 2464 2471 2688 2816 2824 3584 3696 3883 4224 4236 4928 4942 5376 5632 5648 7392 7413 7766 8448 8472 9856 9884 10752 11296 11649 14784 14826 15532 16896 16944 19712 19768 22592 23298 27181 29568 29652 31064 33888 39424 39536 45184 46596 54362 59136 59304 62128 67776 79072 81543 90368 93192 108724 118272 118608 124256 135552 158144 163086 180736 186384 217448 237216 248512 271104 316288 326172 372768 434896 474432 497024 542208 632576 652344 745536 869792 948864 994048 1265152 1304688 1491072 1739584 1897728 1988096 2609376 2982144 3479168 3795456 5218752 5964288 6958336 10437504 13916672 20875008 41750016