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487413408 = 25373157443
BaseRepresentation
bin11101000011010…
…101011010100000
31020222011011111110
4131003111122200
51444234212113
6120210543320
715035642226
oct3503253240
91228134443
10487413408
1123014a9a9
12117297b40
1379c99101
1448a3ab16
152cbcdbc3
hex1d0d56a0

487413408 has 96 divisors (see below), whose sum is σ = 1308194496. Its totient is φ = 158865408.

The previous prime is 487413397. The next prime is 487413431. The reversal of 487413408 is 804314784.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 1100035 + ... + 1100477.

It is an arithmetic number, because the mean of its divisors is an integer number (13627026).

Almost surely, 2487413408 is an apocalyptic number.

487413408 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 487413408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654097248).

487413408 is an abundant number, since it is smaller than the sum of its proper divisors (820781088).

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

487413408 is a wasteful number, since it uses less digits than its factorization.

487413408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 487413408 is about 22077.4411560760. The cubic root of 487413408 is about 786.9838568956.

The spelling of 487413408 in words is "four hundred eighty-seven million, four hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 157 219 292 314 438 443 471 584 628 876 886 942 1168 1256 1329 1752 1772 1884 2336 2512 2658 3504 3544 3768 5024 5316 7008 7088 7536 10632 11461 14176 15072 21264 22922 32339 34383 42528 45844 64678 68766 69551 91688 97017 129356 137532 139102 183376 194034 208653 258712 275064 278204 366752 388068 417306 517424 550128 556408 776136 834612 1034848 1100256 1112816 1552272 1669224 2225632 3104544 3338448 5077223 6676896 10154446 15231669 20308892 30463338 40617784 60926676 81235568 121853352 162471136 243706704 487413408