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1449620064 = 2534717877
BaseRepresentation
bin101011001100111…
…0111001001100000
310202000201022220000
41112121313021200
510432100320224
6355502220000
750631365364
oct12631671140
93660638800
101449620064
11684300012
12345584600
131a1432c69
14da74b2a4
15873e70c9
hex56677260

1449620064 has 120 divisors (see below), whose sum is σ = 4323887568. Its totient is φ = 476340480.

The previous prime is 1449620033. The next prime is 1449620069. The reversal of 1449620064 is 4600269441.

1449620064 is a `hidden beast` number, since 1 + 449 + 6 + 200 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1449620069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180094 + ... + 187970.

Almost surely, 21449620064 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 1449620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161943784).

1449620064 is an abundant number, since it is smaller than the sum of its proper divisors (2874267504).

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

1449620064 is an equidigital number, since it uses as much as digits as its factorization.

1449620064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1449620064 is about 38073.8763983916. The cubic root of 1449620064 is about 1131.7523296225.

The spelling of 1449620064 in words is "one billion, four hundred forty-nine million, six hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 639 648 852 864 1136 1278 1296 1704 1917 2272 2556 2592 3408 3834 5112 5751 6816 7668 7877 10224 11502 15336 15754 20448 23004 23631 30672 31508 46008 47262 61344 63016 70893 92016 94524 126032 141786 184032 189048 212679 252064 283572 378096 425358 559267 567144 638037 756192 850716 1118534 1134288 1276074 1677801 1701432 2237068 2268576 2552148 3355602 3402864 4474136 5033403 5104296 6711204 6805728 8948272 10066806 10208592 13422408 15100209 17896544 20133612 20417184 26844816 30200418 40267224 45300627 53689632 60400836 80534448 90601254 120801672 161068896 181202508 241603344 362405016 483206688 724810032 1449620064