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1441642848 = 253311972459
BaseRepresentation
bin101010111101101…
…1011100101100000
310201110201001012120
41111323123211200
510423030032343
6355015224240
750503522242
oct12573334540
93643631176
101441642848
1167a851678
12342978080
1319c89c009
14d9672092
158686d683
hex55edb960

1441642848 has 96 divisors (see below), whose sum is σ = 3927813120. Its totient is φ = 462497280.

The previous prime is 1441642837. The next prime is 1441642883. The reversal of 1441642848 is 8482461441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14416428482 = 4156668202379102208, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585043 + ... + 587501.

It is an arithmetic number, because the mean of its divisors is an integer number (40914720).

Almost surely, 21441642848 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 1441642848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963906560).

1441642848 is an abundant number, since it is smaller than the sum of its proper divisors (2486170272).

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

1441642848 is a wasteful number, since it uses less digits than its factorization.

1441642848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2692 counting only the distinct ones).

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

The square root of 1441642848 is about 37968.9721746586. The cubic root of 1441642848 is about 1129.6725101049.

The spelling of 1441642848 in words is "one billion, four hundred forty-one million, six hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 197 248 372 394 496 591 744 788 992 1182 1488 1576 2364 2459 2976 3152 4728 4918 6107 6304 7377 9456 9836 12214 14754 18321 18912 19672 24428 29508 36642 39344 48856 59016 73284 76229 78688 97712 118032 146568 152458 195424 228687 236064 293136 304916 457374 484423 586272 609832 914748 968846 1219664 1453269 1829496 1937692 2439328 2906538 3658992 3875384 5813076 7317984 7750768 11626152 15017113 15501536 23252304 30034226 45051339 46504608 60068452 90102678 120136904 180205356 240273808 360410712 480547616 720821424 1441642848