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631424616 = 233315367239
BaseRepresentation
bin100101101000101…
…100011001101000
31122000010200201220
4211220230121220
52243121041431
6142353342040
721435010044
oct4550543150
91560120656
10631424616
112a4471729
12157567920
13a0a7c144
145dc07024
153a678b96
hex25a2c668

631424616 has 128 divisors (see below), whose sum is σ = 1692057600. Its totient is φ = 196035840.

The previous prime is 631424581. The next prime is 631424617. The reversal of 631424616 is 616424136.

It is a super-3 number, since 3×6314246163 (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (631424617) 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 31 ways as a sum of consecutive naturals, for example, 2641825 + ... + 2642063.

It is an arithmetic number, because the mean of its divisors is an integer number (13219200).

Almost surely, 2631424616 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 631424616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846028800).

631424616 is an abundant number, since it is smaller than the sum of its proper divisors (1060632984).

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

631424616 is a wasteful number, since it uses less digits than its factorization.

631424616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 631424616 is about 25128.1638008033. The cubic root of 631424616 is about 857.9075758541.

The spelling of 631424616 in words is "six hundred thirty-one million, four hundred twenty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 67 93 106 124 134 159 186 201 212 239 248 268 318 372 402 424 478 536 636 717 744 804 956 1272 1434 1608 1643 1912 2077 2868 3286 3551 4154 4929 5736 6231 6572 7102 7409 8308 9858 10653 12462 12667 13144 14204 14818 16013 16616 19716 21306 22227 24924 25334 28408 29636 32026 38001 39432 42612 44454 48039 49848 50668 59272 64052 76002 85224 88908 96078 101336 110081 128104 152004 177816 192156 220162 304008 330243 384312 392677 440324 496403 660486 785354 848689 880648 992806 1178031 1320972 1489209 1570708 1697378 1985612 2356062 2546067 2641944 2978418 3141416 3394756 3971224 4712124 5092134 5956836 6789512 9424248 10184268 11913672 20368536 26309359 52618718 78928077 105237436 157856154 210474872 315712308 631424616