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1285045248 = 2103563743
BaseRepresentation
bin100110010011000…
…0011110000000000
310022120001001200110
41030212003300000
510112432421443
6331302551320
743562463414
oct11446036000
93276031613
101285045248
115aa413573
122ba438540
13176300106
14c294ad44
1577c39233
hex4c983c00

1285045248 has 88 divisors (see below), whose sum is σ = 3435815808. Its totient is φ = 427012096.

The previous prime is 1285045217. The next prime is 1285045253. The reversal of 1285045248 is 8425405821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1729165 + ... + 1729907.

Almost surely, 21285045248 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 1285045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717907904).

1285045248 is an abundant number, since it is smaller than the sum of its proper divisors (2150770560).

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

1285045248 is an equidigital number, since it uses as much as digits as its factorization.

1285045248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 1285045248 is about 35847.5277808666. The cubic root of 1285045248 is about 1087.1917295612.

The spelling of 1285045248 in words is "one billion, two hundred eighty-five million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 563 743 768 1024 1126 1486 1536 1689 2229 2252 2972 3072 3378 4458 4504 5944 6756 8916 9008 11888 13512 17832 18016 23776 27024 35664 36032 47552 54048 71328 72064 95104 108096 142656 144128 190208 216192 285312 288256 380416 418309 432384 570624 576512 760832 836618 864768 1141248 1254927 1673236 1729536 2282496 2509854 3346472 5019708 6692944 10039416 13385888 20078832 26771776 40157664 53543552 80315328 107087104 160630656 214174208 321261312 428348416 642522624 1285045248