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1455630064 = 24725931469
BaseRepresentation
bin101011011000011…
…0010011011110000
310202110000200001121
41112300302123300
510440120130224
6400235112024
751033436300
oct12660623360
93673020047
101455630064
11687735459
123475a2614
131a2758685
14db473600
1587bd2be4
hex56c326f0

1455630064 has 60 divisors (see below), whose sum is σ = 3336449400. Its totient is φ = 613248384.

The previous prime is 1455630041. The next prime is 1455630097. The reversal of 1455630064 is 4600365541.

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, 30522 + ... + 61990.

It is an arithmetic number, because the mean of its divisors is an integer number (55607490).

Almost surely, 21455630064 is an apocalyptic number.

1455630064 is a gapful number since it is divisible by the number (14) 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 1455630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668224700).

1455630064 is an abundant number, since it is smaller than the sum of its proper divisors (1880819336).

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

1455630064 is a wasteful number, since it uses less digits than its factorization.

1455630064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31550 (or 31537 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 1455630064 is about 38152.7202699886. The cubic root of 1455630064 is about 1133.3142223613.

The spelling of 1455630064 in words is "one billion, four hundred fifty-five million, six hundred thirty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 784 826 944 1652 2891 3304 5782 6608 11564 23128 31469 46256 62938 125876 220283 251752 440566 503504 881132 1541981 1762264 1856671 3083962 3524528 3713342 6167924 7426684 12335848 12996697 14853368 24671696 25993394 29706736 51986788 90976879 103973576 181953758 207947152 363907516 727815032 1455630064