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488408064 = 2103173919
BaseRepresentation
bin11101000111001…
…000010000000000
31021001000200220120
4131013020100000
52000013024224
6120244140240
715050254134
oct3507102000
91231020816
10488408064
1123076a231
12117697680
137a256a71
1448c193c4
152cd28779
hex1d1c8400

488408064 has 88 divisors (see below), whose sum is σ = 1310735040. Its totient is φ = 161685504.

The previous prime is 488408009. The next prime is 488408071. The reversal of 488408064 is 460804884.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530997 + ... + 531915.

Almost surely, 2488408064 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 488408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655367520).

488408064 is an abundant number, since it is smaller than the sum of its proper divisors (822326976).

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

488408064 is a wasteful number, since it uses less digits than its factorization.

488408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 488408064 is about 22099.9561990516. The cubic root of 488408064 is about 787.5188212181.

The spelling of 488408064 in words is "four hundred eighty-eight million, four hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 512 519 692 768 919 1024 1038 1384 1536 1838 2076 2757 2768 3072 3676 4152 5514 5536 7352 8304 11028 11072 14704 16608 22056 22144 29408 33216 44112 44288 58816 66432 88224 88576 117632 132864 158987 176448 177152 235264 265728 317974 352896 470528 476961 531456 635948 705792 941056 953922 1271896 1411584 1907844 2543792 2823168 3815688 5087584 7631376 10175168 15262752 20350336 30525504 40700672 61051008 81401344 122102016 162802688 244204032 488408064