[go: up one dir, main page]

Search a number
-
+
1426466112 = 26371269389
BaseRepresentation
bin101010100000110…
…0010010101000000
310200102010222122020
41111001202111000
510410133403422
6353314041440
750230522221
oct12501422500
93612128566
101426466112
11672226115
12339879280
131996b70b6
14d7641248
158537195c
hex55062540

1426466112 has 112 divisors (see below), whose sum is σ = 3851452800. Its totient is φ = 465848320.

The previous prime is 1426466099. The next prime is 1426466149. The reversal of 1426466112 is 2116646241.

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

It is a congruent number.

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, 3666814 + ... + 3667202.

Almost surely, 21426466112 is an apocalyptic number.

1426466112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925726400).

1426466112 is an abundant number, since it is smaller than the sum of its proper divisors (2424986688).

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

1426466112 is a wasteful number, since it uses less digits than its factorization.

1426466112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 1426466112 is about 37768.5863119074. The cubic root of 1426466112 is about 1125.6943498284.

The spelling of 1426466112 in words is "one billion, four hundred twenty-six million, four hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 269 284 389 426 538 568 778 807 852 1076 1136 1167 1556 1614 1704 2152 2272 2334 3112 3228 3408 4304 4544 4668 6224 6456 6816 8608 9336 12448 12912 13632 17216 18672 19099 24896 25824 27619 37344 38198 51648 55238 57297 74688 76396 82857 104641 110476 114594 152792 165714 209282 220952 229188 305584 313923 331428 418564 441904 458376 611168 627846 662856 837128 883808 916752 1222336 1255692 1325712 1674256 1767616 1833504 2511384 2651424 3348512 3667008 5022768 5302848 6697024 7429511 10045536 14859022 20091072 22288533 29718044 44577066 59436088 89154132 118872176 178308264 237744352 356616528 475488704 713233056 1426466112