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455442100 = 225229157049
BaseRepresentation
bin11011001001010…
…111111010110100
31011201222212002221
4123021113322310
51413043121400
6113105412124
714200123351
oct3311277264
91151885087
10455442100
112140a3433
1210863a044
1373483a89
14446b7628
1529eb5c1a
hex1b257eb4

455442100 has 36 divisors (see below), whose sum is σ = 1022395500. Its totient is φ = 175893760.

The previous prime is 455442089. The next prime is 455442101. The reversal of 455442100 is 1244554.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14945956 + 440496144 = 3866^2 + 20988^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455442101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75625 + ... + 81424.

It is an arithmetic number, because the mean of its divisors is an integer number (28399875).

Almost surely, 2455442100 is an apocalyptic number.

It is an amenable number.

455442100 is an abundant number, since it is smaller than the sum of its proper divisors (566953400).

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

455442100 is a wasteful number, since it uses less digits than its factorization.

455442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157092 (or 157085 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 455442100 is about 21341.0894754696. The cubic root of 455442100 is about 769.3861977463.

Adding to 455442100 its reverse (1244554), we get a palindrome (456686654).

The spelling of 455442100 in words is "four hundred fifty-five million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 157049 314098 628196 785245 1570490 3140980 3926225 4554421 7852450 9108842 15704900 18217684 22772105 45544210 91088420 113860525 227721050 455442100