Search a number
-
+
454897152 = 2932175807
BaseRepresentation
bin11011000111010…
…010111000000000
31011200222011120200
4123013102320000
51412423202102
6113050005200
714162363523
oct3307227000
91150864520
10454897152
11213860a66
12108416800
1373322a18
14445b4bba
1529e0951c
hex1b1d2e00

454897152 has 120 divisors (see below), whose sum is σ = 1390330656. Its totient is φ = 142688256.

The previous prime is 454897147. The next prime is 454897153. The reversal of 454897152 is 251798454.

454897152 is a `hidden beast` number, since 4 + 548 + 97 + 15 + 2 = 666.

It is a super-2 number, since 2×4548971522 = 413862837795422208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 454897098 and 454897107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454897153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75433 + ... + 81239.

Almost surely, 2454897152 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 454897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695165328).

454897152 is an abundant number, since it is smaller than the sum of its proper divisors (935433504).

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

454897152 is a wasteful number, since it uses less digits than its factorization.

454897152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5848 (or 5829 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 454897152 is about 21328.3180771480. The cubic root of 454897152 is about 769.0792119220.

The spelling of 454897152 in words is "four hundred fifty-four million, eight hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 5807 6528 8704 9792 11614 13056 17421 19584 23228 26112 34842 39168 46456 52263 69684 78336 92912 98719 104526 139368 185824 197438 209052 278736 296157 371648 394876 418104 557472 592314 743296 789752 836208 888471 1114944 1184628 1486592 1579504 1672416 1776942 2229888 2369256 2973184 3159008 3344832 3553884 4459776 4738512 6318016 6689664 7107768 8919552 9477024 12636032 13379328 14215536 18954048 25272064 26758656 28431072 37908096 50544128 56862144 75816192 113724288 151632384 227448576 454897152