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450432052 = 22743616133
BaseRepresentation
bin11010110110010…
…000110000110100
31011101120022121121
4122312100300310
51410302311202
6112410153324
714106415660
oct3266206064
91141508547
10450432052
112112912a4
12106a22844
137241b555
1443b718a0
1529826537
hex1ad90c34

450432052 has 48 divisors (see below), whose sum is σ = 937078912. Its totient is φ = 185431680.

The previous prime is 450432011. The next prime is 450432061. The reversal of 450432052 is 250234054.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70378 + ... + 76510.

Almost surely, 2450432052 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 450432052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468539456).

450432052 is an abundant number, since it is smaller than the sum of its proper divisors (486646860).

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

450432052 is a wasteful number, since it uses less digits than its factorization.

450432052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 450432052 is about 21223.3845557206. The cubic root of 450432052 is about 766.5546024819.

The spelling of 450432052 in words is "four hundred fifty million, four hundred thirty-two thousand, fifty-two".

Divisors: 1 2 4 7 14 28 43 61 86 122 172 244 301 427 602 854 1204 1708 2623 5246 6133 10492 12266 18361 24532 36722 42931 73444 85862 171724 263719 374113 527438 748226 1054876 1496452 1846033 2618791 3692066 5237582 7384132 10475164 16086859 32173718 64347436 112608013 225216026 450432052