Search a number
-
+
455091532 = 227314389137
BaseRepresentation
bin11011001000000…
…010010101001100
31011201100001012221
4123020002111030
51413000412112
6113054105124
714164133320
oct3310022514
91151301187
10455091532
11213984005
121084ab1a4
137339033c
1444625980
1529e46e07
hex1b20254c

455091532 has 96 divisors (see below), whose sum is σ = 979292160. Its totient is φ = 180956160.

The previous prime is 455091529. The next prime is 455091589. The reversal of 455091532 is 235190554.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3321768 + ... + 3321904.

It is an arithmetic number, because the mean of its divisors is an integer number (10200960).

Almost surely, 2455091532 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 455091532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489646080).

455091532 is an abundant number, since it is smaller than the sum of its proper divisors (524200628).

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

455091532 is a wasteful number, since it uses less digits than its factorization.

455091532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 455091532 is about 21332.8744429812. The cubic root of 455091532 is about 769.1887402175.

The spelling of 455091532 in words is "four hundred fifty-five million, ninety-one thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 43 62 86 89 124 137 172 178 217 274 301 356 434 548 602 623 868 959 1204 1246 1333 1918 2492 2666 2759 3827 3836 4247 5332 5518 5891 7654 8494 9331 11036 11782 12193 15308 16988 18662 19313 23564 24386 26789 29729 37324 38626 41237 48772 53578 59458 77252 82474 85351 107156 118637 118916 164948 170702 182621 237274 341404 365242 377983 474548 524299 730484 755966 830459 1048598 1278347 1511932 1660918 2097196 2556694 2645881 3321836 3670093 5113388 5291762 7340186 10583524 14680372 16253269 32506538 65013076 113772883 227545766 455091532