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1455434848 = 25722340357
BaseRepresentation
bin101011011000000…
…0010110001100000
310202102122202021101
41112300002301200
510440042403343
6400231004144
751031664200
oct12660026140
93672582241
101455434848
1168761181a
12347509654
131a26ba86a
14db422400
1587b94e4d
hex56c02c60

1455434848 has 72 divisors (see below), whose sum is σ = 3478213872. Its totient is φ = 596623104.

The previous prime is 1455434843. The next prime is 1455434867. The reversal of 1455434848 is 8484345541.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 1455434798 and 1455434807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455434843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15886 + ... + 56242.

It is an arithmetic number, because the mean of its divisors is an integer number (48308526).

Almost surely, 21455434848 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 1455434848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739106936).

1455434848 is an abundant number, since it is smaller than the sum of its proper divisors (2022779024).

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

1455434848 is a wasteful number, since it uses less digits than its factorization.

1455434848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40404 (or 40389 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 46.

The square root of 1455434848 is about 38150.1618345191. The cubic root of 1455434848 is about 1133.2635567960.

The spelling of 1455434848 in words is "one billion, four hundred fifty-five million, four hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 5152 9016 18032 36064 40357 80714 161428 282499 322856 564998 645712 928211 1129996 1291424 1856422 1977493 2259992 3712844 3954986 4519984 6497477 7425688 7909972 9039968 12994954 14851376 15819944 25989908 29702752 31639888 45482339 51979816 63279776 90964678 103959632 181929356 207919264 363858712 727717424 1455434848