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450970912 = 2573181227
BaseRepresentation
bin11010111000010…
…100010100100000
31011102120200210101
4122320110110200
51410422032122
6112425512144
714114122000
oct3270242440
91142520711
10450970912
1121161a137
12107042654
13725798c2
1443c72000
15298d1027
hex1ae14520

450970912 has 96 divisors (see below), whose sum is σ = 1045699200. Its totient is φ = 191358720.

The previous prime is 450970889. The next prime is 450970937. The reversal of 450970912 is 219079054.

It is a super-2 number, since 2×4509709122 = 406749526940223488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1986543 + ... + 1986769.

It is an arithmetic number, because the mean of its divisors is an integer number (10892700).

Almost surely, 2450970912 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 450970912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522849600).

450970912 is an abundant number, since it is smaller than the sum of its proper divisors (594728288).

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

450970912 is a wasteful number, since it uses less digits than its factorization.

450970912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 450970912 is about 21236.0757203397. The cubic root of 450970912 is about 766.8601617047.

The spelling of 450970912 in words is "four hundred fifty million, nine hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 181 196 224 227 343 362 392 454 686 724 784 908 1267 1372 1448 1568 1589 1816 2534 2744 2896 3178 3632 5068 5488 5792 6356 7264 8869 10136 10976 11123 12712 17738 20272 22246 25424 35476 40544 41087 44492 50848 62083 70952 77861 82174 88984 124166 141904 155722 164348 177968 248332 283808 287609 311444 328696 355936 496664 575218 622888 657392 993328 1150436 1245776 1314784 1986656 2013263 2300872 2491552 4026526 4601744 8053052 9203488 14092841 16106104 28185682 32212208 56371364 64424416 112742728 225485456 450970912