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1285493376 = 2735383761
BaseRepresentation
bin100110010011111…
…0001001010000000
310022120212211101210
41030213301022000
510113041242001
6331320330120
743566341046
oct11447611200
93276784353
101285493376
115aa69a222
122ba613940
1317642908b
14c2a26396
1577cc6dd6
hex4c9f1280

1285493376 has 128 divisors (see below), whose sum is σ = 3525560640. Its totient is φ = 414801920.

The previous prime is 1285493371. The next prime is 1285493383. The reversal of 1285493376 is 6733945821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1285493371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1688836 + ... + 1689596.

Almost surely, 21285493376 is an apocalyptic number.

1285493376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762780320).

1285493376 is an abundant number, since it is smaller than the sum of its proper divisors (2240067264).

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

1285493376 is an equidigital number, since it uses as much as digits as its factorization.

1285493376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 902 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 1285493376 is about 35853.7777089110. Note that the first 4 decimals coincide. The cubic root of 1285493376 is about 1087.3180920205.

The spelling of 1285493376 in words is "one billion, two hundred eighty-five million, four hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 83 96 106 128 159 166 192 212 249 318 332 384 424 498 636 664 761 848 996 1272 1328 1522 1696 1992 2283 2544 2656 3044 3392 3984 4399 4566 5088 5312 6088 6784 7968 8798 9132 10176 10624 12176 13197 15936 17596 18264 20352 24352 26394 31872 35192 36528 40333 48704 52788 63163 70384 73056 80666 97408 105576 120999 126326 140768 146112 161332 189489 211152 241998 252652 281536 292224 322664 378978 422304 483996 505304 563072 645328 757956 844608 967992 1010608 1290656 1515912 1689216 1935984 2021216 2581312 3031824 3347639 3871968 4042432 5162624 6063648 6695278 7743936 8084864 10042917 12127296 13390556 15487872 20085834 24254592 26781112 40171668 53562224 80343336 107124448 160686672 214248896 321373344 428497792 642746688 1285493376