Search a number
-
+
451624968 = 233261102829
BaseRepresentation
bin11010111010110…
…100000000001000
31011110210220222200
4122322310000020
51411103444333
6112451520200
714122514604
oct3272640010
91143726880
10451624968
11211a26583
121072b9060
1372748512
1443da2504
15299aec13
hex1aeb4008

451624968 has 48 divisors (see below), whose sum is σ = 1243214700. Its totient is φ = 148072320.

The previous prime is 451624967. The next prime is 451624969. The reversal of 451624968 is 869426154.

It is an interprime number because it is at equal distance from previous prime (451624967) and next prime (451624969).

It can be written as a sum of positive squares in 2 ways, for example, as 355624164 + 96000804 = 18858^2 + 9798^2 .

It is a super-2 number, since 2×4516249682 = 407930223442002048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (451624967) 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, 47023 + ... + 55806.

Almost surely, 2451624968 is an apocalyptic number.

It is an amenable number.

451624968 is an abundant number, since it is smaller than the sum of its proper divisors (791589732).

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

451624968 is a wasteful number, since it uses less digits than its factorization.

451624968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102902 (or 102895 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 451624968 is about 21251.4697844643. The cubic root of 451624968 is about 767.2307156891.

The spelling of 451624968 in words is "four hundred fifty-one million, six hundred twenty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 102829 205658 308487 411316 616974 822632 925461 1233948 1850922 2467896 3701844 6272569 7403688 12545138 18817707 25090276 37635414 50180552 56453121 75270828 112906242 150541656 225812484 451624968