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492248016 = 2435139739
BaseRepresentation
bin11101010101110…
…001101111010000
31021022020210100000
4131111301233100
52002003414031
6120502330000
715125016261
oct3525615720
91238223300
10492248016
11232952247
12118a29900
137ac9c820
1449538968
152d3363e6
hex1d571bd0

492248016 has 120 divisors (see below), whose sum is σ = 1538686240. Its totient is φ = 151445376.

The previous prime is 492247999. The next prime is 492248023. The reversal of 492248016 is 610842294.

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 23 ways as a sum of consecutive naturals, for example, 45675 + ... + 55413.

Almost surely, 2492248016 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 492248016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769343120).

492248016 is an abundant number, since it is smaller than the sum of its proper divisors (1046438224).

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

492248016 is a wasteful number, since it uses less digits than its factorization.

492248016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9775 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 492248016 is about 22186.6630208330. The cubic root of 492248016 is about 789.5773073919.

The spelling of 492248016 in words is "four hundred ninety-two million, two hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 9739 12636 16848 19478 25272 29217 38956 50544 58434 77912 87651 116868 126607 155824 175302 233736 253214 262953 350604 379821 467472 506428 525906 701208 759642 788859 1012856 1051812 1139463 1402416 1519284 1577718 2025712 2103624 2278926 2366577 3038568 3155436 3418389 4207248 4557852 4733154 6077136 6310872 6836778 9115704 9466308 10255167 12621744 13673556 18231408 18932616 20510334 27347112 30765501 37865232 41020668 54694224 61531002 82041336 123062004 164082672 246124008 492248016