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408422868 = 2237231791181
BaseRepresentation
bin11000010110000…
…000100111010100
31001110112000211220
4120112000213110
51314024012433
6104305530340
713056352140
oct3026004724
91043460756
10408422868
1119a5a9167
12b49439b0
1366800349
143c358220
1525cc92b3
hex185809d4

408422868 has 96 divisors (see below), whose sum is σ = 1143797760. Its totient is φ = 110901120.

The previous prime is 408422851. The next prime is 408422873. The reversal of 408422868 is 868224804.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345238 + ... + 346418.

It is an arithmetic number, because the mean of its divisors is an integer number (11914560).

Almost surely, 2408422868 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 408422868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571898880).

408422868 is an abundant number, since it is smaller than the sum of its proper divisors (735374892).

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

408422868 is a wasteful number, since it uses less digits than its factorization.

408422868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 408422868 is about 20209.4747086608. The cubic root of 408422868 is about 741.9421033332.

The spelling of 408422868 in words is "four hundred eight million, four hundred twenty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 179 276 322 358 483 537 644 716 966 1074 1181 1253 1932 2148 2362 2506 3543 3759 4117 4724 5012 7086 7518 8234 8267 12351 14172 15036 16468 16534 24702 24801 27163 28819 33068 49404 49602 54326 57638 81489 86457 99204 108652 115276 162978 172914 190141 211399 325956 345828 380282 422798 570423 634197 760564 845596 1140846 1268394 1479793 2281692 2536788 2959586 4439379 4862177 5919172 8878758 9724354 14586531 17757516 19448708 29173062 34035239 58346124 68070478 102105717 136140956 204211434 408422868