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1450505672 = 2371123372767
BaseRepresentation
bin101011001110100…
…1111010111001000
310202002101022201022
41112131033113020
510432312140142
6355533212012
750642044340
oct12635172710
93662338638
101450505672
11684855420
12345931008
131a16830a5
14da8dbd20
158751e6d2
hex5674f5c8

1450505672 has 128 divisors (see below), whose sum is σ = 3635159040. Its totient is φ = 525761280.

The previous prime is 1450505669. The next prime is 1450505677. The reversal of 1450505672 is 2765050541.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1450505677) by changing a digit.

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, 522833 + ... + 525599.

It is an arithmetic number, because the mean of its divisors is an integer number (28399680).

Almost surely, 21450505672 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 1450505672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817579520).

1450505672 is an abundant number, since it is smaller than the sum of its proper divisors (2184653368).

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

1450505672 is a wasteful number, since it uses less digits than its factorization.

1450505672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 1450505672 is about 38085.5047491825. The cubic root of 1450505672 is about 1131.9827543394.

The spelling of 1450505672 in words is "one billion, four hundred fifty million, five hundred five thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 23 28 37 44 46 56 74 77 88 92 148 154 161 184 253 259 296 308 322 407 506 518 616 644 814 851 1012 1036 1288 1628 1702 1771 2024 2072 2767 2849 3256 3404 3542 5534 5698 5957 6808 7084 9361 11068 11396 11914 14168 18722 19369 22136 22792 23828 30437 37444 38738 47656 60874 63641 65527 74888 77476 102379 121748 127282 131054 154952 204758 213059 243496 254564 262108 409516 426118 445487 509128 524216 700051 716653 819032 852236 890974 1126169 1400102 1433306 1704472 1781948 2252338 2354717 2800204 2866612 3563896 4504676 4709434 4900357 5600408 5733224 7883183 9009352 9418868 9800714 15766366 16483019 18837736 19601428 25901887 31532732 32966038 39202856 51803774 63065464 65932076 103607548 131864152 181313209 207215096 362626418 725252836 1450505672