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454385844 = 2232112394801
BaseRepresentation
bin11011000101010…
…110000010110100
31011200000012012100
4123011112002310
51412310321334
6113031022100
714155134033
oct3305260264
91150005170
10454385844
112135418a0
1210820a930
13731a4083
14444c071a
1529d57c99
hex1b1560b4

454385844 has 72 divisors (see below), whose sum is σ = 1258508160. Its totient is φ = 137088000.

The previous prime is 454385837. The next prime is 454385873. The reversal of 454385844 is 448583454.

It is a self number, because there is not a number n which added to its sum of digits gives 454385844.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92244 + ... + 97044.

It is an arithmetic number, because the mean of its divisors is an integer number (17479280).

Almost surely, 2454385844 is an apocalyptic number.

454385844 is a gapful number since it is divisible by the number (44) 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 454385844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629254080).

454385844 is an abundant number, since it is smaller than the sum of its proper divisors (804122316).

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

454385844 is a wasteful number, since it uses less digits than its factorization.

454385844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5056 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The square root of 454385844 is about 21316.3281078144. The cubic root of 454385844 is about 768.7909535192.

The spelling of 454385844 in words is "four hundred fifty-four million, three hundred eighty-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 239 396 478 717 956 1434 2151 2629 2868 4302 4801 5258 7887 8604 9602 10516 14403 15774 19204 23661 28806 31548 43209 47322 52811 57612 86418 94644 105622 158433 172836 211244 316866 475299 633732 950598 1147439 1901196 2294878 3442317 4589756 6884634 10326951 12621829 13769268 20653902 25243658 37865487 41307804 50487316 75730974 113596461 151461948 227192922 454385844