Search a number
-
+
1148422656 = 2935314107
BaseRepresentation
bin100010001110011…
…1000101000000000
32222000221220201110
41010130320220000
54322444011111
6305542403320
740313301003
oct10434705000
92860856643
101148422656
1153a288a37
12280730540
13153c06144
14ac74553a
156ac4d5a6
hex44738a00

1148422656 has 80 divisors (see below), whose sum is σ = 3117416544. Its totient is φ = 375558144.

The previous prime is 1148422631. The next prime is 1148422663. The reversal of 1148422656 is 6562248411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74355 + ... + 88461.

Almost surely, 21148422656 is an apocalyptic number.

1148422656 is a gapful number since it is divisible by the number (16) 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 1148422656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558708272).

1148422656 is an abundant number, since it is smaller than the sum of its proper divisors (1968993888).

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

1148422656 is an equidigital number, since it uses as much as digits as its factorization.

1148422656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14181 (or 14165 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 1148422656 is about 33888.3852669318. The cubic root of 1148422656 is about 1047.2103291246.

The spelling of 1148422656 in words is "one billion, one hundred forty-eight million, four hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1272 1536 1696 2544 3392 5088 6784 10176 13568 14107 20352 27136 28214 40704 42321 56428 81408 84642 112856 169284 225712 338568 451424 677136 747671 902848 1354272 1495342 1805696 2243013 2708544 2990684 3611392 4486026 5417088 5981368 7222784 8972052 10834176 11962736 17944104 21668352 23925472 35888208 47850944 71776416 95701888 143552832 191403776 287105664 382807552 574211328 1148422656