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41212416 = 29373833
BaseRepresentation
bin1001110100110…
…1101000000000
32212112210210210
42131031220000
541022244131
64031154120
71010204550
oct235155000
985483723
1041212416
1121299553
1211975940
1386cc65b
14568b160
153941146
hex274da00

41212416 has 80 divisors (see below), whose sum is σ = 125509824. Its totient is φ = 11771904.

The previous prime is 41212399. The next prime is 41212439. The reversal of 41212416 is 61421214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41212392 and 41212401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8836 + ... + 12668.

Almost surely, 241212416 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 41212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62754912).

41212416 is an abundant number, since it is smaller than the sum of its proper divisors (84297408).

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

41212416 is an equidigital number, since it uses as much as digits as its factorization.

41212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3845 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 41212416 is about 6419.6897121278. The cubic root of 41212416 is about 345.4161916960.

The spelling of 41212416 in words is "forty-one million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 3833 5376 7666 10752 11499 15332 22998 26831 30664 45996 53662 61328 80493 91992 107324 122656 160986 183984 214648 245312 321972 367968 429296 490624 643944 735936 858592 981248 1287888 1471872 1717184 1962496 2575776 2943744 3434368 5151552 5887488 6868736 10303104 13737472 20606208 41212416