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1426162368 = 263174110657
BaseRepresentation
bin101010100000001…
…1000001011000000
310200101120112222110
41111000120023000
510410044143433
6353303335320
750225115531
oct12500301300
93611515873
101426162368
11672038994
12339751540
1319960ba77
14d75a2688
1585311963
hex550182c0

1426162368 has 112 divisors (see below), whose sum is σ = 4093183584. Its totient is φ = 436469760.

The previous prime is 1426162343. The next prime is 1426162399. The reversal of 1426162368 is 8632616241.

It is a nude number because it is divisible by every one of its digits.

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, 128496 + ... + 139152.

It is an arithmetic number, because the mean of its divisors is an integer number (36546282).

Almost surely, 21426162368 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 1426162368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046591792).

1426162368 is an abundant number, since it is smaller than the sum of its proper divisors (2667021216).

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

1426162368 is a wasteful number, since it uses less digits than its factorization.

1426162368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730 (or 10720 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 1426162368 is about 37764.5649782968. The cubic root of 1426162368 is about 1125.6144443955.

The spelling of 1426162368 in words is "one billion, four hundred twenty-six million, one hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 136 164 192 204 246 272 328 408 492 544 656 697 816 984 1088 1312 1394 1632 1968 2091 2624 2788 3264 3936 4182 5576 7872 8364 10657 11152 16728 21314 22304 31971 33456 42628 44608 63942 66912 85256 127884 133824 170512 181169 255768 341024 362338 436937 511536 543507 682048 724676 873874 1023072 1087014 1310811 1449352 1747748 2046144 2174028 2621622 2898704 3495496 4348056 5243244 5797408 6990992 7427929 8696112 10486488 11594816 13981984 14855858 17392224 20972976 22283787 27963968 29711716 34784448 41945952 44567574 59423432 83891904 89135148 118846864 178270296 237693728 356540592 475387456 713081184 1426162368