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453551104 = 2105361137
BaseRepresentation
bin11011000010001…
…010010000000000
31011121102210011001
4123002022100000
51412102113404
6113001101344
714145056266
oct3302122000
91147383131
10453551104
11213021726
12107a87854
1372c71146
1444344436
1529c407a4
hex1b08a400

453551104 has 88 divisors (see below), whose sum is σ = 945763128. Its totient is φ = 217251840.

The previous prime is 453551101. The next prime is 453551107. The reversal of 453551104 is 401155354.

It is an interprime number because it is at equal distance from previous prime (453551101) and next prime (453551107).

It can be written as a sum of positive squares in 4 ways, for example, as 27541504 + 426009600 = 5248^2 + 20640^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (453551101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3310524 + ... + 3310660.

Almost surely, 2453551104 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 453551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472881564).

453551104 is an abundant number, since it is smaller than the sum of its proper divisors (492212024).

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

453551104 is a wasteful number, since it uses less digits than its factorization.

453551104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 453551104 is about 21296.7392809322. The cubic root of 453551104 is about 768.3198898881.

The spelling of 453551104 in words is "four hundred fifty-three million, five hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 53 61 64 106 122 128 137 212 244 256 274 424 488 512 548 848 976 1024 1096 1696 1952 2192 3233 3392 3904 4384 6466 6784 7261 7808 8357 8768 12932 13568 14522 15616 16714 17536 25864 27136 29044 31232 33428 35072 51728 54272 58088 62464 66856 70144 103456 116176 133712 140288 206912 232352 267424 413824 442921 464704 534848 827648 885842 929408 1069696 1655296 1771684 1858816 2139392 3310592 3543368 3717632 4278784 7086736 7435264 8557568 14173472 28346944 56693888 113387776 226775552 453551104