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486427440 = 243529471487
BaseRepresentation
bin11100111111100…
…100101100110000
31020220022002000010
4130333210230300
51444011134230
6120133454520
715024364542
oct3477445460
91226262003
10486427440
1122a637154
12116aa1440
1379a123b5
1448861692
152ca869b0
hex1cfe4b30

486427440 has 160 divisors (see below), whose sum is σ = 1594183680. Its totient is φ = 122493952.

The previous prime is 486427439. The next prime is 486427463. The reversal of 486427440 is 44724684.

486427440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4864274402 = 473223308769907200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326377 + ... + 327863.

It is an arithmetic number, because the mean of its divisors is an integer number (9963648).

Almost surely, 2486427440 is an apocalyptic number.

486427440 is a gapful number since it is divisible by the number (40) 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 486427440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797091840).

486427440 is an abundant number, since it is smaller than the sum of its proper divisors (1107756240).

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

486427440 is a wasteful number, since it uses less digits than its factorization.

486427440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 486427440 is about 22055.1000904553. The cubic root of 486427440 is about 786.4528465449.

The spelling of 486427440 in words is "four hundred eighty-six million, four hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 47 48 58 60 80 87 94 116 120 141 145 174 188 232 235 240 282 290 348 376 435 464 470 564 580 696 705 752 870 940 1128 1160 1363 1392 1410 1487 1740 1880 2256 2320 2726 2820 2974 3480 3760 4089 4461 5452 5640 5948 6815 6960 7435 8178 8922 10904 11280 11896 13630 14870 16356 17844 20445 21808 22305 23792 27260 29740 32712 35688 40890 43123 44610 54520 59480 65424 69889 71376 81780 86246 89220 109040 118960 129369 139778 163560 172492 178440 209667 215615 258738 279556 327120 344984 349445 356880 419334 431230 517476 559112 646845 689968 698890 838668 862460 1034952 1048335 1118224 1293690 1397780 1677336 1724920 2026781 2069904 2096670 2587380 2795560 3354672 3449840 4053562 4193340 5174760 5591120 6080343 8107124 8386680 10133905 10349520 12160686 16214248 16773360 20267810 24321372 30401715 32428496 40535620 48642744 60803430 81071240 97285488 121606860 162142480 243213720 486427440