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41290368 = 273715361
BaseRepresentation
bin1001110110000…
…0101010000000
32212200202201220
42131200222000
541032242433
64032555040
71010651040
oct235405200
985622656
1041290368
1121342079
12119b2a80
138728c92
1456ab720
1539592b3
hex2760a80

41290368 has 64 divisors (see below), whose sum is σ = 125353920. Its totient is φ = 11796480.

The previous prime is 41290349. The next prime is 41290369. The reversal of 41290368 is 86309214.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (41290369) 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, 4993 + ... + 10368.

It is an arithmetic number, because the mean of its divisors is an integer number (1958655).

Almost surely, 241290368 is an apocalyptic number.

41290368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41290368 is an abundant number, since it is smaller than the sum of its proper divisors (84063552).

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

41290368 is a wasteful number, since it uses less digits than its factorization.

41290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15385 (or 15373 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 41290368 is about 6425.7581653841. The cubic root of 41290368 is about 345.6338358504.

The spelling of 41290368 in words is "forty-one million, two hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 15361 30722 46083 61444 92166 107527 122888 184332 215054 245776 322581 368664 430108 491552 645162 737328 860216 983104 1290324 1474656 1720432 1966208 2580648 2949312 3440864 5161296 5898624 6881728 10322592 13763456 20645184 41290368