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491386368 = 29311127229
BaseRepresentation
bin11101010010011…
…111011000000000
31021020122000101010
4131102133120000
52001243330433
6120432040520
715114500214
oct3522373000
91236560333
10491386368
11232413940
12118693140
137aa5a585
1449392944
152d215e63
hex1d49f600

491386368 has 160 divisors (see below), whose sum is σ = 1445621760. Its totient is φ = 147087360.

The previous prime is 491386367. The next prime is 491386369. The reversal of 491386368 is 863683194.

It is an interprime number because it is at equal distance from previous prime (491386367) and next prime (491386369).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491386367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2145678 + ... + 2145906.

It is an arithmetic number, because the mean of its divisors is an integer number (9035136).

Almost surely, 2491386368 is an apocalyptic number.

491386368 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 491386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722810880).

491386368 is an abundant number, since it is smaller than the sum of its proper divisors (954235392).

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

491386368 is a wasteful number, since it uses less digits than its factorization.

491386368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 491386368 is about 22167.2363636065. The cubic root of 491386368 is about 789.1163371531.

The spelling of 491386368 in words is "four hundred ninety-one million, three hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 176 192 229 254 256 264 352 381 384 458 508 512 528 687 704 762 768 916 1016 1056 1374 1397 1408 1524 1536 1832 2032 2112 2519 2748 2794 2816 3048 3664 4064 4191 4224 5038 5496 5588 5632 6096 7328 7557 8128 8382 8448 10076 10992 11176 12192 14656 15114 16256 16764 16896 20152 21984 22352 24384 29083 29312 30228 32512 33528 40304 43968 44704 48768 58166 58624 60456 65024 67056 80608 87249 87936 89408 97536 116332 117248 120912 134112 161216 174498 175872 178816 195072 232664 241824 268224 319913 322432 348996 351744 357632 465328 483648 536448 639826 644864 697992 715264 930656 959739 967296 1072896 1279652 1289728 1395984 1861312 1919478 1934592 2145792 2559304 2791968 3722624 3838956 3869184 5118608 5583936 7445248 7677912 10237216 11167872 14890496 15355824 20474432 22335744 30711648 40948864 44671488 61423296 81897728 122846592 163795456 245693184 491386368