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413172368 = 247231071499
BaseRepresentation
bin11000101000001…
…000001010010000
31001210110022221022
4120220020022100
51321233003433
6104555415012
713144623110
oct3050101220
91053408838
10413172368
111a2252574
12b6454468
13677a40bb
143cc33040
1526416698
hex18a08290

413172368 has 80 divisors (see below), whose sum is σ = 964224000. Its totient is φ = 167680128.

The previous prime is 413172343. The next prime is 413172407. The reversal of 413172368 is 863271314.

It is a super-2 number, since 2×4131723682 = 341422811357454848, which contains 22 as substring.

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, 274883 + ... + 276381.

It is an arithmetic number, because the mean of its divisors is an integer number (12052800).

Almost surely, 2413172368 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 413172368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112000).

413172368 is an abundant number, since it is smaller than the sum of its proper divisors (551051632).

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

413172368 is a wasteful number, since it uses less digits than its factorization.

413172368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1638 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 413172368 is about 20326.6418279065. The cubic root of 413172368 is about 744.8070115554.

The spelling of 413172368 in words is "four hundred thirteen million, one hundred seventy-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 107 112 161 184 214 322 368 428 644 749 856 1288 1498 1499 1712 2461 2576 2996 2998 4922 5992 5996 9844 10493 11984 11992 17227 19688 20986 23984 34454 34477 39376 41972 68908 68954 83944 137816 137908 160393 167888 241339 275632 275816 320786 482678 551632 641572 965356 1122751 1283144 1930712 2245502 2566288 3689039 3861424 4491004 7378078 8982008 14756156 17964016 25823273 29512312 51646546 59024624 103293092 206586184 413172368