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424852992 = 293373421
BaseRepresentation
bin11001010100101…
…011111000000000
31002121102202202000
4121110223320000
51332230243432
6110054024000
713346122314
oct3124537000
91077382660
10424852992
111a8900383
12ba348000
136a033905
14405d3b44
152747257c
hex1952be00

424852992 has 160 divisors (see below), whose sum is σ = 1277849760. Its totient is φ = 139345920.

The previous prime is 424852991. The next prime is 424852997. The reversal of 424852992 is 299258424.

It is a super-2 number, since 2×4248529922 = 361000129622704128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424852991) 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, 1008942 + ... + 1009362.

It is an arithmetic number, because the mean of its divisors is an integer number (7986561).

Almost surely, 2424852992 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 424852992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638924880).

424852992 is an abundant number, since it is smaller than the sum of its proper divisors (852996768).

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

424852992 is an equidigital number, since it uses as much as digits as its factorization.

424852992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 499 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 424852992 is about 20611.9623519936. The cubic root of 424852992 is about 751.7605998171.

The spelling of 424852992 in words is "four hundred twenty-four million, eight hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 256 288 292 384 421 432 438 512 576 584 657 768 842 864 876 1152 1168 1263 1314 1536 1684 1728 1752 1971 2304 2336 2526 2628 3368 3456 3504 3789 3942 4608 4672 5052 5256 6736 6912 7008 7578 7884 9344 10104 10512 11367 13472 13824 14016 15156 15768 18688 20208 21024 22734 26944 28032 30312 30733 31536 37376 40416 42048 45468 53888 56064 60624 61466 63072 80832 84096 90936 92199 107776 112128 121248 122932 126144 161664 168192 181872 184398 215552 242496 245864 252288 276597 323328 336384 363744 368796 484992 491728 504576 553194 646656 727488 737592 829791 969984 983456 1009152 1106388 1454976 1475184 1659582 1939968 1966912 2212776 2909952 2950368 3319164 3933824 4425552 5819904 5900736 6638328 7867648 8851104 11801472 13276656 15735296 17702208 23602944 26553312 35404416 47205888 53106624 70808832 106213248 141617664 212426496 424852992