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487973728 = 251131197227
BaseRepresentation
bin11101000101011…
…110001101100000
31021000012122010001
4131011132031200
51444410124403
6120230545344
715043464634
oct3505361540
91230178101
10487973728
112304a2980
12117508254
137a134168
1448b44dc4
152cc8ec1d
hex1d15e360

487973728 has 96 divisors (see below), whose sum is σ = 1092123648. Its totient is φ = 212620800.

The previous prime is 487973669. The next prime is 487973753. The reversal of 487973728 is 827379784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149551 + ... + 2149777.

It is an arithmetic number, because the mean of its divisors is an integer number (11376288).

Almost surely, 2487973728 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 487973728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546061824).

487973728 is an abundant number, since it is smaller than the sum of its proper divisors (604149920).

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

487973728 is a wasteful number, since it uses less digits than its factorization.

487973728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 55.

The square root of 487973728 is about 22090.1273875910. The cubic root of 487973728 is about 787.2853079989.

It can be divided in two parts, 48797 and 3728, that added together give a palindrome (52525).

The spelling of 487973728 in words is "four hundred eighty-seven million, nine hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 197 227 248 341 352 394 454 496 682 788 908 992 1364 1576 1816 2167 2497 2728 3152 3632 4334 4994 5456 6107 6304 7037 7264 8668 9988 10912 12214 14074 17336 19976 24428 28148 34672 39952 44719 48856 56296 67177 69344 77407 79904 89438 97712 112592 134354 154814 178876 195424 225184 268708 309628 357752 491909 537416 619256 715504 983818 1074832 1238512 1386289 1431008 1967636 2149664 2477024 2772578 3935272 5545156 7870544 11090312 15249179 15741088 22180624 30498358 44361248 60996716 121993432 243986864 487973728