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454054050 = 232528211229
BaseRepresentation
bin11011000100000…
…101000010100010
31011122101100001200
4123010011002202
51412214212200
6113015542030
714152252512
oct3304050242
91148340050
10454054050
1121333558a
1210808a916
13730b9048
1444435842
1529cde800
hex1b1050a2

454054050 has 72 divisors (see below), whose sum is σ = 1222371540. Its totient is φ = 120835200.

The previous prime is 454054033. The next prime is 454054057. The reversal of 454054050 is 50450454.

It can be written as a sum of positive squares in 6 ways, for example, as 261371889 + 192682161 = 16167^2 + 13881^2 .

It is not an unprimeable number, because it can be changed into a prime (454054057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 368836 + ... + 370064.

Almost surely, 2454054050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454054050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611185770).

454054050 is an abundant number, since it is smaller than the sum of its proper divisors (768317490).

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

454054050 is a wasteful number, since it uses less digits than its factorization.

454054050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 454054050 is about 21308.5440610099. The cubic root of 454054050 is about 768.6037834148.

It can be divided in two parts, 45405 and 4050, that added together give a triangular number (49455 = T314).

The spelling of 454054050 in words is "four hundred fifty-four million, fifty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 821 1229 1642 2458 2463 3687 4105 4926 6145 7374 7389 8210 11061 12290 12315 14778 18435 20525 22122 24630 30725 36870 36945 41050 55305 61450 61575 73890 92175 110610 123150 184350 184725 276525 369450 553050 1009009 2018018 3027027 5045045 6054054 9081081 10090090 15135135 18162162 25225225 30270270 45405405 50450450 75675675 90810810 151351350 227027025 454054050