Search a number
-
+
1381441248 = 253211436061
BaseRepresentation
bin101001001010111…
…0001111011100000
310120021102111010200
41102111301323200
510312122104443
6345025025200
746143025335
oct12225617340
93507374120
101381441248
11649873290
12326785200
13190281375
14d168098c
158142add3
hex52571ee0

1381441248 has 72 divisors (see below), whose sum is σ = 4285617336. Its totient is φ = 418617600.

The previous prime is 1381441231. The next prime is 1381441261. The reversal of 1381441248 is 8421441831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 214863 + ... + 221198.

It is an arithmetic number, because the mean of its divisors is an integer number (59522463).

Almost surely, 21381441248 is an apocalyptic number.

1381441248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1381441248 is an abundant number, since it is smaller than the sum of its proper divisors (2904176088).

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

1381441248 is a wasteful number, since it uses less digits than its factorization.

1381441248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436088 (or 436077 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1381441248 is about 37167.7447257700. The cubic root of 1381441248 is about 1113.7237296875.

The spelling of 1381441248 in words is "one billion, three hundred eighty-one million, four hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 436061 872122 1308183 1744244 2616366 3488488 3924549 4796671 5232732 6976976 7849098 9593342 10465464 13953952 14390013 15698196 19186684 20930928 28780026 31396392 38373368 41861856 43170039 57560052 62792784 76746736 86340078 115120104 125585568 153493472 172680156 230240208 345360312 460480416 690720624 1381441248