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455075740 = 225724211103
BaseRepresentation
bin11011000111111…
…110011110011100
31011201022020120001
4123013332132130
51412444410430
6113053504044
714164036300
oct3307763634
91151266501
10455075740
11213973159
121084a2024
13733860b2
144461dd00
1529e423ca
hex1b1fe79c

455075740 has 72 divisors (see below), whose sum is σ = 1115335872. Its totient is φ = 155514240.

The previous prime is 455075729. The next prime is 455075749. The reversal of 455075740 is 47570554.

It is a self number, because there is not a number n which added to its sum of digits gives 455075740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455075749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412029 + ... + 413131.

It is an arithmetic number, because the mean of its divisors is an integer number (15490776).

Almost surely, 2455075740 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 455075740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557667936).

455075740 is an abundant number, since it is smaller than the sum of its proper divisors (660260132).

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

455075740 is a wasteful number, since it uses less digits than its factorization.

455075740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 37.

The square root of 455075740 is about 21332.5043068084. The cubic root of 455075740 is about 769.1798429824.

The spelling of 455075740 in words is "four hundred fifty-five million, seventy-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 421 490 842 980 1103 1684 2105 2206 2947 4210 4412 5515 5894 7721 8420 11030 11788 14735 15442 20629 22060 29470 30884 38605 41258 54047 58940 77210 82516 103145 108094 154420 206290 216188 270235 412580 464363 540470 928726 1080940 1857452 2321815 3250541 4643630 6501082 9287260 13002164 16252705 22753787 32505410 45507574 65010820 91015148 113768935 227537870 455075740