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1450991256 = 23311131273329
BaseRepresentation
bin101011001111100…
…0101111010011000
310202010021222210220
41112133011322120
510432423210011
6355551440040
750646136131
oct12637057230
93663258726
101450991256
11685057230
12345b26020
131a17c3110
14da9c6c88
15875b8506
hex567c5e98

1450991256 has 128 divisors (see below), whose sum is σ = 4296499200. Its totient is φ = 402554880.

The previous prime is 1450991237. The next prime is 1450991279. The reversal of 1450991256 is 6521990541.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 434200 + ... + 437528.

It is an arithmetic number, because the mean of its divisors is an integer number (33566400).

Almost surely, 21450991256 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 1450991256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148249600).

1450991256 is an abundant number, since it is smaller than the sum of its proper divisors (2845507944).

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

1450991256 is a wasteful number, since it uses less digits than its factorization.

1450991256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 1450991256 is about 38091.8791345347. The cubic root of 1450991256 is about 1132.1090577379.

The spelling of 1450991256 in words is "one billion, four hundred fifty million, nine hundred ninety-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 127 132 143 156 254 264 286 312 381 429 508 572 762 858 1016 1144 1397 1524 1651 1716 2794 3048 3302 3329 3432 4191 4953 5588 6604 6658 8382 9906 9987 11176 13208 13316 16764 18161 19812 19974 26632 33528 36322 36619 39624 39948 43277 54483 72644 73238 79896 86554 108966 109857 129831 145288 146476 173108 217932 219714 259662 292952 346216 422783 435864 439428 476047 519324 845566 878856 952094 1038648 1268349 1428141 1691132 1904188 2536698 2856282 3382264 3808376 4650613 5073396 5496179 5712564 9301226 10146792 10992358 11425128 13951839 16488537 18602452 21984716 27903678 32977074 37204904 43969432 55807356 60457969 65954148 111614712 120915938 131908296 181373907 241831876 362747814 483663752 725495628 1450991256