Search a number
-
+
453472416 = 253217234027
BaseRepresentation
bin11011000001110…
…111000010100000
31011121021210012200
4123001313002200
51412042104131
6112555253200
714144311005
oct3301670240
91147253180
10453472416
11212a785a1
12107a4a200
1372c44397
14443238ac
1529c272e6
hex1b0770a0

453472416 has 144 divisors (see below), whose sum is σ = 1425138624. Its totient is φ = 136046592.

The previous prime is 453472361. The next prime is 453472421. The reversal of 453472416 is 614274354.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110595 + ... + 114621.

It is an arithmetic number, because the mean of its divisors is an integer number (9896796).

Almost surely, 2453472416 is an apocalyptic number.

453472416 is a gapful number since it is divisible by the number (46) 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 453472416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712569312).

453472416 is an abundant number, since it is smaller than the sum of its proper divisors (971666208).

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

453472416 is a wasteful number, since it uses less digits than its factorization.

453472416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4072 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 453472416 is about 21294.8917818335. The cubic root of 453472416 is about 768.2754545777.

The spelling of 453472416 in words is "four hundred fifty-three million, four hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 32 34 36 46 48 51 68 69 72 92 96 102 136 138 144 153 184 204 207 272 276 288 306 368 391 408 414 544 552 612 736 782 816 828 1104 1173 1224 1564 1632 1656 2208 2346 2448 3128 3312 3519 4027 4692 4896 6256 6624 7038 8054 9384 12081 12512 14076 16108 18768 24162 28152 32216 36243 37536 48324 56304 64432 68459 72486 92621 96648 112608 128864 136918 144972 185242 193296 205377 273836 277863 289944 370484 386592 410754 547672 555726 579888 616131 740968 821508 833589 1095344 1111452 1159776 1232262 1481936 1574557 1643016 1667178 2190688 2222904 2464524 2963872 3149114 3286032 3334356 4445808 4723671 4929048 6298228 6572064 6668712 8891616 9447342 9858096 12596456 13337424 14171013 18894684 19716192 25192912 26674848 28342026 37789368 50385824 56684052 75578736 113368104 151157472 226736208 453472416