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41914368 = 21233379
BaseRepresentation
bin1001111111100…
…1000000000000
32220212110201000
42133321000000
541212224433
64054212000
71016160216
oct237710000
986773630
1041914368
1121728981
1212054000
1388b7002
1457d0cb6
153a2e113
hex27f9000

41914368 has 104 divisors (see below), whose sum is σ = 124503200. Its totient is φ = 13934592.

The previous prime is 41914363. The next prime is 41914393. The reversal of 41914368 is 86341914.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20736) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (41914363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110403 + ... + 110781.

Almost surely, 241914368 is an apocalyptic number.

41914368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41914368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62251600).

41914368 is an abundant number, since it is smaller than the sum of its proper divisors (82588832).

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

41914368 is an equidigital number, since it uses as much as digits as its factorization.

41914368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 384 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 41914368 is about 6474.1306752335. The cubic root of 41914368 is about 347.3662663633.

The spelling of 41914368 in words is "forty-one million, nine hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 379 384 432 512 576 758 768 864 1024 1137 1152 1516 1536 1728 2048 2274 2304 3032 3072 3411 3456 4096 4548 4608 6064 6144 6822 6912 9096 9216 10233 12128 12288 13644 13824 18192 18432 20466 24256 27288 27648 36384 36864 40932 48512 54576 55296 72768 81864 97024 109152 110592 145536 163728 194048 218304 291072 327456 388096 436608 582144 654912 776192 873216 1164288 1309824 1552384 1746432 2328576 2619648 3492864 4657152 5239296 6985728 10478592 13971456 20957184 41914368