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486424240 = 245231671583
BaseRepresentation
bin11100111111100…
…011111010110000
31020220021220121121
4130333203322300
51444011033430
6120133432024
715024352321
oct3477437260
91226256547
10486424240
1122a634805
12116a9b614
1379a10ac3
1448860448
152ca85a7a
hex1cfe3eb0

486424240 has 80 divisors (see below), whose sum is σ = 1187923968. Its totient is φ = 184878848.

The previous prime is 486424229. The next prime is 486424241. The reversal of 486424240 is 42424684.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 486424196 and 486424205.

It is not an unprimeable number, because it can be changed into a prime (486424241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306489 + ... + 308071.

Almost surely, 2486424240 is an apocalyptic number.

486424240 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 486424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593961984).

486424240 is an abundant number, since it is smaller than the sum of its proper divisors (701499728).

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

486424240 is a wasteful number, since it uses less digits than its factorization.

486424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The square root of 486424240 is about 22055.0275447572. The cubic root of 486424240 is about 786.4511219611.

The spelling of 486424240 in words is "four hundred eighty-six million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 167 184 230 334 368 460 668 835 920 1336 1583 1670 1840 2672 3166 3340 3841 6332 6680 7682 7915 12664 13360 15364 15830 19205 25328 30728 31660 36409 38410 61456 63320 72818 76820 126640 145636 153640 182045 264361 291272 307280 364090 528722 582544 728180 1057444 1321805 1456360 2114888 2643610 2912720 4229776 5287220 6080303 10574440 12160606 21148880 24321212 30401515 48642424 60803030 97284848 121606060 243212120 486424240