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491949312 = 2831813539
BaseRepresentation
bin11101010100101…
…000110100000000
31021021200121120220
4131110220310000
52001414334222
6120452103040
715122333361
oct3524506400
91237617526
10491949312
11232768888
12118904a80
137abc688a
144949bb68
152d2c7b5c
hex1d528d00

491949312 has 72 divisors (see below), whose sum is σ = 1316908320. Its totient is φ = 163031040.

The previous prime is 491949307. The next prime is 491949317. The reversal of 491949312 is 213949194.

It is an interprime number because it is at equal distance from previous prime (491949307) and next prime (491949317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491949317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137239 + ... + 140777.

Almost surely, 2491949312 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 491949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658454160).

491949312 is an abundant number, since it is smaller than the sum of its proper divisors (824959008).

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

491949312 is a wasteful number, since it uses less digits than its factorization.

491949312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3725 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 491949312 is about 22179.9303876275. The cubic root of 491949312 is about 789.4175656802.

The spelling of 491949312 in words is "four hundred ninety-one million, nine hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 543 724 768 1086 1448 2172 2896 3539 4344 5792 7078 8688 10617 11584 14156 17376 21234 23168 28312 34752 42468 46336 56624 69504 84936 113248 139008 169872 226496 339744 452992 640559 679488 905984 1281118 1358976 1921677 2562236 2717952 3843354 5124472 7686708 10248944 15373416 20497888 30746832 40995776 61493664 81991552 122987328 163983104 245974656 491949312