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449747070 = 235173128447
BaseRepresentation
bin11010110011101…
…001100001111110
31011100021111222220
4122303221201332
51410113401240
6112343350210
714100533643
oct3263514176
91140244886
10449747070
112109636a3
12106752366
137223b836
1443a33dca
152973d5d0
hex1ace987e

449747070 has 64 divisors (see below), whose sum is σ = 1179795456. Its totient is φ = 109232640.

The previous prime is 449747059. The next prime is 449747117. The reversal of 449747070 is 70747944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1587 + ... + 30033.

It is an arithmetic number, because the mean of its divisors is an integer number (18434304).

Almost surely, 2449747070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449747070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589897728).

449747070 is an abundant number, since it is smaller than the sum of its proper divisors (730048386).

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

449747070 is a wasteful number, since it uses less digits than its factorization.

449747070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28505.

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 449747070 is about 21207.2409803821. The cubic root of 449747070 is about 766.1658331566.

The spelling of 449747070 in words is "four hundred forty-nine million, seven hundred forty-seven thousand, seventy".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2635 3162 5270 7905 15810 28447 56894 85341 142235 170682 284470 426705 483599 853410 881857 967198 1450797 1763714 2417995 2645571 2901594 4409285 4835990 5291142 7253985 8818570 13227855 14507970 14991569 26455710 29983138 44974707 74957845 89949414 149915690 224873535 449747070