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1454849264 = 24112929829
BaseRepresentation
bin101011010110111…
…0011110011110000
310202101120000000002
41112231303303300
510434420134024
6400210245132
751024005021
oct12655636360
93671500002
101454849264
11687251870
123472867a8
131a254416b
14db30cc48
1587acb6ae
hex56b73cf0

1454849264 has 60 divisors (see below), whose sum is σ = 3185037960. Its totient is φ = 638426880.

The previous prime is 1454849219. The next prime is 1454849267. The reversal of 1454849264 is 4629484541.

It is a super-2 number, since 2×14548492642 = 4233172761922683392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454849267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143102 + ... + 152930.

It is an arithmetic number, because the mean of its divisors is an integer number (53083966).

Almost surely, 21454849264 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 1454849264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592518980).

1454849264 is an abundant number, since it is smaller than the sum of its proper divisors (1730188696).

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

1454849264 is a wasteful number, since it uses less digits than its factorization.

1454849264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9906 (or 9871 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 47.

The square root of 1454849264 is about 38142.4863374164. The cubic root of 1454849264 is about 1133.1115495274. Note that the first 3 decimals are identical.

The spelling of 1454849264 in words is "one billion, four hundred fifty-four million, eight hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 841 1276 1682 2552 3364 5104 6728 9251 9829 13456 18502 19658 37004 39316 74008 78632 108119 148016 157264 216238 285041 432476 570082 864952 1140164 1729904 2280328 3135451 4560656 6270902 8266189 12541804 16532378 25083608 33064756 50167216 66129512 90928079 132259024 181856158 363712316 727424632 1454849264