Search a number
-
+
1454833152 = 29322391321
BaseRepresentation
bin101011010110110…
…1111111000000000
310202101112011220100
41112231233320000
510434414130102
6400210042400
751023610033
oct12655577000
93671464810
101454833152
11687240753
12347279400
131a2539a26
14db30701a
1587ac6a1c
hex56b6fe00

1454833152 has 120 divisors (see below), whose sum is σ = 4219506720. Its totient is φ = 482549760.

The previous prime is 1454833129. The next prime is 1454833181. The reversal of 1454833152 is 2513384541.

1454833152 is a `hidden beast` number, since 145 + 483 + 31 + 5 + 2 = 666.

1454833152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1100652 + ... + 1101972.

It is an arithmetic number, because the mean of its divisors is an integer number (35162556).

Almost surely, 21454833152 is an apocalyptic number.

1454833152 is a gapful number since it is divisible by the number (12) 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 1454833152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109753360).

1454833152 is an abundant number, since it is smaller than the sum of its proper divisors (2764673568).

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

1454833152 is a wasteful number, since it uses less digits than its factorization.

1454833152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1565 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1454833152 is about 38142.2751287859. The cubic root of 1454833152 is about 1133.1073665601.

The spelling of 1454833152 in words is "one billion, four hundred fifty-four million, eight hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 256 288 384 478 512 576 717 768 956 1152 1321 1434 1536 1912 2151 2304 2642 2868 3824 3963 4302 4608 5284 5736 7648 7926 8604 10568 11472 11889 15296 15852 17208 21136 22944 23778 30592 31704 34416 42272 45888 47556 61184 63408 68832 84544 91776 95112 122368 126816 137664 169088 183552 190224 253632 275328 315719 338176 367104 380448 507264 550656 631438 676352 760896 947157 1014528 1101312 1262876 1521792 1894314 2029056 2525752 2841471 3043584 3788628 5051504 5682942 6087168 7577256 10103008 11365884 15154512 20206016 22731768 30309024 40412032 45463536 60618048 80824064 90927072 121236096 161648128 181854144 242472192 363708288 484944384 727416576 1454833152