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450090004 = 227135772143
BaseRepresentation
bin11010110100111…
…101010000010100
31011100220221102011
4122310331100110
51410210340004
6112354554004
714103462520
oct3264752024
91140827364
10450090004
11211078311
12106898904
137232b960
1443ac2d80
15297aa004
hex1ad3d414

450090004 has 48 divisors (see below), whose sum is σ = 971557888. Its totient is φ = 177666048.

The previous prime is 450089971. The next prime is 450090007. The reversal of 450090004 is 400090054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450090007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208957 + ... + 211099.

Almost surely, 2450090004 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 450090004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485778944).

450090004 is an abundant number, since it is smaller than the sum of its proper divisors (521467884).

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

450090004 is a wasteful number, since it uses less digits than its factorization.

450090004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 450090004 is about 21215.3247441561. The cubic root of 450090004 is about 766.3605185538.

The spelling of 450090004 in words is "four hundred fifty million, ninety thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 577 1154 2143 2308 4039 4286 7501 8078 8572 15001 15002 16156 27859 30002 30004 52507 55718 60004 105014 111436 195013 210028 390026 780052 1236511 2473022 4946044 8655577 16074643 17311154 32149286 34622308 64298572 112522501 225045002 450090004