Search a number
-
+
1464344056 = 237891012909
BaseRepresentation
bin101011101001000…
…0001110111111000
310210001102101102001
41113102001313320
510444333002211
6401145550344
751200501440
oct12722016770
93701371361
101464344056
116916473aa
1234a4a53b4
131a44b9a96
14dc6a1120
1588854ac1
hex57481df8

1464344056 has 64 divisors (see below), whose sum is σ = 3205656000. Its totient is φ = 614169600.

The previous prime is 1464343997. The next prime is 1464344129. The reversal of 1464344056 is 6504434641.

It is a super-2 number, since 2×14643440562 = 4288607028685062272, which contains 22 as substring.

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, 501930 + ... + 504838.

It is an arithmetic number, because the mean of its divisors is an integer number (50088375).

Almost surely, 21464344056 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 1464344056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602828000).

1464344056 is an abundant number, since it is smaller than the sum of its proper divisors (1741311944).

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

1464344056 is a wasteful number, since it uses less digits than its factorization.

1464344056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 1464344056 is about 38266.7486990991. The cubic root of 1464344056 is about 1135.5712174499.

Adding to 1464344056 its reverse (6504434641), we get a palindrome (7968778697).

The spelling of 1464344056 in words is "one billion, four hundred sixty-four million, three hundred forty-four thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 56 89 101 178 202 356 404 623 707 712 808 1246 1414 2492 2828 2909 4984 5656 5818 8989 11636 17978 20363 23272 35956 40726 62923 71912 81452 125846 162904 251692 258901 293809 503384 517802 587618 1035604 1175236 1812307 2056663 2071208 2350472 3624614 4113326 7249228 8226652 14498456 16453304 26149001 52298002 104596004 183043007 209192008 366086014 732172028 1464344056