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488374012 = 227531911723
BaseRepresentation
bin11101000110111…
…111111011111100
31021000221222012101
4131012333323330
52000010432022
6120243314444
715050052640
oct3506777374
91230858171
10488374012
11230746695
1211767ba24
137a244409
1448c0ac20
152cd1d627
hex1d1bfefc

488374012 has 48 divisors (see below), whose sum is σ = 1000968192. Its totient is φ = 204160320.

The previous prime is 488373979. The next prime is 488374027. The reversal of 488374012 is 210473884.

It is a super-2 number, since 2×4883740122 = 477018351193952288, which contains 22 as substring.

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, 282583 + ... + 284305.

It is an arithmetic number, because the mean of its divisors is an integer number (20853504).

Almost surely, 2488374012 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 488374012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500484096).

488374012 is an abundant number, since it is smaller than the sum of its proper divisors (512594180).

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

488374012 is a wasteful number, since it uses less digits than its factorization.

488374012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 488374012 is about 22099.1857768561. The cubic root of 488374012 is about 787.5005187533.

The spelling of 488374012 in words is "four hundred eighty-eight million, three hundred seventy-four thousand, twelve".

Divisors: 1 2 4 7 14 28 53 106 191 212 371 382 742 764 1337 1484 1723 2674 3446 5348 6892 10123 12061 20246 24122 40492 48244 70861 91319 141722 182638 283444 329093 365276 639233 658186 1278466 1316372 2303651 2556932 4607302 9214604 17441929 34883858 69767716 122093503 244187006 488374012