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486800352 = 253210715797
BaseRepresentation
bin11101000000111…
…111101111100000
31020221000000112200
4131000333233200
51444110102402
6120145453200
715030510003
oct3500775740
91227000480
10486800352
1122a871345
12117041200
1379b1305c
144891b53a
152cb0c21c
hex1d03fbe0

486800352 has 72 divisors (see below), whose sum is σ = 1397364696. Its totient is φ = 160740096.

The previous prime is 486800299. The next prime is 486800437. The reversal of 486800352 is 253008684.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22918 + ... + 38714.

It is an arithmetic number, because the mean of its divisors is an integer number (19407843).

Almost surely, 2486800352 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 486800352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698682348).

486800352 is an abundant number, since it is smaller than the sum of its proper divisors (910564344).

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

486800352 is a wasteful number, since it uses less digits than its factorization.

486800352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15920 (or 15909 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 486800352 is about 22063.5525697926. The cubic root of 486800352 is about 786.6537691396.

The spelling of 486800352 in words is "four hundred eighty-six million, eight hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 5136 7704 10272 15408 15797 30816 31594 47391 63188 94782 126376 142173 189564 252752 284346 379128 505504 568692 758256 1137384 1516512 1690279 2274768 3380558 4549536 5070837 6761116 10141674 13522232 15212511 20283348 27044464 30425022 40566696 54088928 60850044 81133392 121700088 162266784 243400176 486800352